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Finding the Fourth Proportional to 509,352.96, 702,924.80 and 283,008

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Solution

The fourth proportional to 509,352.96, 702,924.80 and 283,008 is: 390,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,352.96 : 702,924.80 = 283,008 : x
  2. Step 2: Convert to fraction form
    509,352.96/702,924.80 = 283,008/x
  3. Step 3: Cross multiply
    509,352.96x = 702,924.80 × 283,008
  4. Step 4: Simplify right side
    509,352.96x = 198,933,341,798.40
  5. Step 5: Solve for x
    x = 198,933,341,798.40/509,352.96
  6. Step 6: Final answer
    x = 390,560.88

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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.