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Finding the Fourth Proportional to 512,577.87, 707,343.02 and 283,130.61

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Solution

The fourth proportional to 512,577.87, 707,343.02 and 283,130.61 is: 390,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,577.87 : 707,343.02 = 283,130.61 : x
  2. Step 2: Convert to fraction form
    512,577.87/707,343.02 = 283,130.61/x
  3. Step 3: Cross multiply
    512,577.87x = 707,343.02 × 283,130.61
  4. Step 4: Simplify right side
    512,577.87x = 200,270,459,316.19
  5. Step 5: Solve for x
    x = 200,270,459,316.19/512,577.87
  6. Step 6: Final answer
    x = 390,712.26

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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.