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Finding the Fourth Proportional to 529,497.58, 730,711.46 and 287,780.74

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Solution

The fourth proportional to 529,497.58, 730,711.46 and 287,780.74 is: 397,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,497.58 : 730,711.46 = 287,780.74 : x
  2. Step 2: Convert to fraction form
    529,497.58/730,711.46 = 287,780.74/x
  3. Step 3: Cross multiply
    529,497.58x = 730,711.46 × 287,780.74
  4. Step 4: Simplify right side
    529,497.58x = 210,284,684,685.28
  5. Step 5: Solve for x
    x = 210,284,684,685.28/529,497.58
  6. Step 6: Final answer
    x = 397,140.03

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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.