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Finding the Fourth Proportional to 506,842.63, 699,442.83 and 280,502.71

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Solution

The fourth proportional to 506,842.63, 699,442.83 and 280,502.71 is: 387,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,842.63 : 699,442.83 = 280,502.71 : x
  2. Step 2: Convert to fraction form
    506,842.63/699,442.83 = 280,502.71/x
  3. Step 3: Cross multiply
    506,842.63x = 699,442.83 × 280,502.71
  4. Step 4: Simplify right side
    506,842.63x = 196,195,605,807.86
  5. Step 5: Solve for x
    x = 196,195,605,807.86/506,842.63
  6. Step 6: Final answer
    x = 387,093.74

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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.