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Finding the Fourth Proportional to 510,346.50, 704,272.62 and 280,898.88

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Solution

The fourth proportional to 510,346.50, 704,272.62 and 280,898.88 is: 387,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,346.50 : 704,272.62 = 280,898.88 : x
  2. Step 2: Convert to fraction form
    510,346.50/704,272.62 = 280,898.88/x
  3. Step 3: Cross multiply
    510,346.50x = 704,272.62 × 280,898.88
  4. Step 4: Simplify right side
    510,346.50x = 197,829,388,585.01
  5. Step 5: Solve for x
    x = 197,829,388,585.01/510,346.50
  6. Step 6: Final answer
    x = 387,637.40

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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.