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Finding the Fourth Proportional to 939,748,000.40, 1,409,622,000.60 and 697,883,296.40

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Solution

The fourth proportional to 939,748,000.40, 1,409,622,000.60 and 697,883,296.40 is: 1,046,824,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,748,000.40 : 1,409,622,000.60 = 697,883,296.40 : x
  2. Step 2: Convert to fraction form
    939,748,000.40/1,409,622,000.60 = 697,883,296.40/x
  3. Step 3: Cross multiply
    939,748,000.40x = 1,409,622,000.60 × 697,883,296.40
  4. Step 4: Simplify right side
    939,748,000.40x = 983,751,648,456,690,688
  5. Step 5: Solve for x
    x = 983,751,648,456,690,688/939,748,000.40
  6. Step 6: Final answer
    x = 1,046,824,944.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.