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Finding the Fourth Proportional to 509,354.88, 702,897.12 and 283,000.92

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Solution

The fourth proportional to 509,354.88, 702,897.12 and 283,000.92 is: 390,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,354.88 : 702,897.12 = 283,000.92 : x
  2. Step 2: Convert to fraction form
    509,354.88/702,897.12 = 283,000.92/x
  3. Step 3: Cross multiply
    509,354.88x = 702,897.12 × 283,000.92
  4. Step 4: Simplify right side
    509,354.88x = 198,920,531,625.35
  5. Step 5: Solve for x
    x = 198,920,531,625.35/509,354.88
  6. Step 6: Final answer
    x = 390,534.26

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1.5x scale

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.