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Finding the Fourth Proportional to 487,678.32, 672,624 and 419,806.80

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Solution

The fourth proportional to 487,678.32, 672,624 and 419,806.80 is: 579,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,678.32 : 672,624 = 419,806.80 : x
  2. Step 2: Convert to fraction form
    487,678.32/672,624 = 419,806.80/x
  3. Step 3: Cross multiply
    487,678.32x = 672,624 × 419,806.80
  4. Step 4: Simplify right side
    487,678.32x = 282,372,129,043.20
  5. Step 5: Solve for x
    x = 282,372,129,043.20/487,678.32
  6. Step 6: Final answer
    x = 579,013.09

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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.