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Finding the Fourth Proportional to 510,275.86, 704,154.44 and 280,854.92

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Solution

The fourth proportional to 510,275.86, 704,154.44 and 280,854.92 is: 387,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,275.86 : 704,154.44 = 280,854.92 : x
  2. Step 2: Convert to fraction form
    510,275.86/704,154.44 = 280,854.92/x
  3. Step 3: Cross multiply
    510,275.86x = 704,154.44 × 280,854.92
  4. Step 4: Simplify right side
    510,275.86x = 197,765,238,913.85
  5. Step 5: Solve for x
    x = 197,765,238,913.85/510,275.86
  6. Step 6: Final answer
    x = 387,565.34

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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.