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Finding the Fourth Proportional to 529,768, 731,079.84 and 291,304

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Solution

The fourth proportional to 529,768, 731,079.84 and 291,304 is: 401,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,768 : 731,079.84 = 291,304 : x
  2. Step 2: Convert to fraction form
    529,768/731,079.84 = 291,304/x
  3. Step 3: Cross multiply
    529,768x = 731,079.84 × 291,304
  4. Step 4: Simplify right side
    529,768x = 212,966,481,711.36
  5. Step 5: Solve for x
    x = 212,966,481,711.36/529,768
  6. Step 6: Final answer
    x = 401,999.52

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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.