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Finding the Fourth Proportional to 529,281, 730,407.78 and 290,817

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Solution

The fourth proportional to 529,281, 730,407.78 and 290,817 is: 401,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,281 : 730,407.78 = 290,817 : x
  2. Step 2: Convert to fraction form
    529,281/730,407.78 = 290,817/x
  3. Step 3: Cross multiply
    529,281x = 730,407.78 × 290,817
  4. Step 4: Simplify right side
    529,281x = 212,414,999,356.26
  5. Step 5: Solve for x
    x = 212,414,999,356.26/529,281
  6. Step 6: Final answer
    x = 401,327.46

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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.