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Finding the Fourth Proportional to 408,281.68, 612,412.68 and 287,841.16

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Solution

The fourth proportional to 408,281.68, 612,412.68 and 287,841.16 is: 431,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,281.68 : 612,412.68 = 287,841.16 : x
  2. Step 2: Convert to fraction form
    408,281.68/612,412.68 = 287,841.16/x
  3. Step 3: Cross multiply
    408,281.68x = 612,412.68 × 287,841.16
  4. Step 4: Simplify right side
    408,281.68x = 176,277,576,209.91
  5. Step 5: Solve for x
    x = 176,277,576,209.91/408,281.68
  6. Step 6: Final answer
    x = 431,754.80

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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.