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Finding the Fourth Proportional to 448,045.85, 672,068.78 and 413,831.45

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Solution

The fourth proportional to 448,045.85, 672,068.78 and 413,831.45 is: 620,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,045.85 : 672,068.78 = 413,831.45 : x
  2. Step 2: Convert to fraction form
    448,045.85/672,068.78 = 413,831.45/x
  3. Step 3: Cross multiply
    448,045.85x = 672,068.78 × 413,831.45
  4. Step 4: Simplify right side
    448,045.85x = 278,123,195,657.97
  5. Step 5: Solve for x
    x = 278,123,195,657.97/448,045.85
  6. Step 6: Final answer
    x = 620,747.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.