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Finding the Fourth Proportional to 581,120, 801,761.28 and 354,652.16

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Solution

The fourth proportional to 581,120, 801,761.28 and 354,652.16 is: 489,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,120 : 801,761.28 = 354,652.16 : x
  2. Step 2: Convert to fraction form
    581,120/801,761.28 = 354,652.16/x
  3. Step 3: Cross multiply
    581,120x = 801,761.28 × 354,652.16
  4. Step 4: Simplify right side
    581,120x = 284,346,369,756.37
  5. Step 5: Solve for x
    x = 284,346,369,756.37/581,120
  6. Step 6: Final answer
    x = 489,307.49

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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.