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Finding the Fourth Proportional to 529,776, 731,090.88 and 291,312

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Solution

The fourth proportional to 529,776, 731,090.88 and 291,312 is: 402,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,776 : 731,090.88 = 291,312 : x
  2. Step 2: Convert to fraction form
    529,776/731,090.88 = 291,312/x
  3. Step 3: Cross multiply
    529,776x = 731,090.88 × 291,312
  4. Step 4: Simplify right side
    529,776x = 212,975,546,434.56
  5. Step 5: Solve for x
    x = 212,975,546,434.56/529,776
  6. Step 6: Final answer
    x = 402,010.56

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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.