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Finding the Fourth Proportional to 529,498.06, 730,712.12 and 287,781.20

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Solution

The fourth proportional to 529,498.06, 730,712.12 and 287,781.20 is: 397,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,498.06 : 730,712.12 = 287,781.20 : x
  2. Step 2: Convert to fraction form
    529,498.06/730,712.12 = 287,781.20/x
  3. Step 3: Cross multiply
    529,498.06x = 730,712.12 × 287,781.20
  4. Step 4: Simplify right side
    529,498.06x = 210,285,210,748.14
  5. Step 5: Solve for x
    x = 210,285,210,748.14/529,498.06
  6. Step 6: Final answer
    x = 397,140.66

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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.