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Finding the Fourth Proportional to 529,143.65, 730,231.82 and 287,440.06

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Solution

The fourth proportional to 529,143.65, 730,231.82 and 287,440.06 is: 396,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,143.65 : 730,231.82 = 287,440.06 : x
  2. Step 2: Convert to fraction form
    529,143.65/730,231.82 = 287,440.06/x
  3. Step 3: Cross multiply
    529,143.65x = 730,231.82 × 287,440.06
  4. Step 4: Simplify right side
    529,143.65x = 209,897,874,503.55
  5. Step 5: Solve for x
    x = 209,897,874,503.55/529,143.65
  6. Step 6: Final answer
    x = 396,674.65

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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.