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Finding the Fourth Proportional to 506,881.83, 699,421.65 and 307,867.50

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Solution

The fourth proportional to 506,881.83, 699,421.65 and 307,867.50 is: 424,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,881.83 : 699,421.65 = 307,867.50 : x
  2. Step 2: Convert to fraction form
    506,881.83/699,421.65 = 307,867.50/x
  3. Step 3: Cross multiply
    506,881.83x = 699,421.65 × 307,867.50
  4. Step 4: Simplify right side
    506,881.83x = 215,329,194,831.38
  5. Step 5: Solve for x
    x = 215,329,194,831.38/506,881.83
  6. Step 6: Final answer
    x = 424,811.43

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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.