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Finding the Fourth Proportional to 424,231.40, 636,347.10 and 407,901.80

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Solution

The fourth proportional to 424,231.40, 636,347.10 and 407,901.80 is: 611,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,231.40 : 636,347.10 = 407,901.80 : x
  2. Step 2: Convert to fraction form
    424,231.40/636,347.10 = 407,901.80/x
  3. Step 3: Cross multiply
    424,231.40x = 636,347.10 × 407,901.80
  4. Step 4: Simplify right side
    424,231.40x = 259,567,127,514.78
  5. Step 5: Solve for x
    x = 259,567,127,514.78/424,231.40
  6. Step 6: Final answer
    x = 611,852.70

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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.