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Finding the Fourth Proportional to 529,100.93, 730,164.65 and 287,388.23

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Solution

The fourth proportional to 529,100.93, 730,164.65 and 287,388.23 is: 396,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,100.93 : 730,164.65 = 287,388.23 : x
  2. Step 2: Convert to fraction form
    529,100.93/730,164.65 = 287,388.23/x
  3. Step 3: Cross multiply
    529,100.93x = 730,164.65 × 287,388.23
  4. Step 4: Simplify right side
    529,100.93x = 209,840,721,284.31
  5. Step 5: Solve for x
    x = 209,840,721,284.31/529,100.93
  6. Step 6: Final answer
    x = 396,598.66

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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.