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Finding the Fourth Proportional to 611,430,574.40, 917,145,861.60 and 407,357,230.40

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Solution

The fourth proportional to 611,430,574.40, 917,145,861.60 and 407,357,230.40 is: 611,035,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,430,574.40 : 917,145,861.60 = 407,357,230.40 : x
  2. Step 2: Convert to fraction form
    611,430,574.40/917,145,861.60 = 407,357,230.40/x
  3. Step 3: Cross multiply
    611,430,574.40x = 917,145,861.60 × 407,357,230.40
  4. Step 4: Simplify right side
    611,430,574.40x = 373,605,998,054,197,696
  5. Step 5: Solve for x
    x = 373,605,998,054,197,696/611,430,574.40
  6. Step 6: Final answer
    x = 611,035,845.60

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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.