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Finding the Fourth Proportional to 587,432.40, 879,242.16 and 317,184.80

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Solution

The fourth proportional to 587,432.40, 879,242.16 and 317,184.80 is: 474,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,432.40 : 879,242.16 = 317,184.80 : x
  2. Step 2: Convert to fraction form
    587,432.40/879,242.16 = 317,184.80/x
  3. Step 3: Cross multiply
    587,432.40x = 879,242.16 × 317,184.80
  4. Step 4: Simplify right side
    587,432.40x = 278,882,248,671.17
  5. Step 5: Solve for x
    x = 278,882,248,671.17/587,432.40
  6. Step 6: Final answer
    x = 474,747.82

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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.