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Finding the Fourth Proportional to 533,996.40, 736,912.34 and 288,980.98

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Solution

The fourth proportional to 533,996.40, 736,912.34 and 288,980.98 is: 398,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,996.40 : 736,912.34 = 288,980.98 : x
  2. Step 2: Convert to fraction form
    533,996.40/736,912.34 = 288,980.98/x
  3. Step 3: Cross multiply
    533,996.40x = 736,912.34 × 288,980.98
  4. Step 4: Simplify right side
    533,996.40x = 212,953,650,187.29
  5. Step 5: Solve for x
    x = 212,953,650,187.29/533,996.40
  6. Step 6: Final answer
    x = 398,792.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.