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Finding the Fourth Proportional to 587,776.80, 879,332.40 and 509,757.60

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Solution

The fourth proportional to 587,776.80, 879,332.40 and 509,757.60 is: 762,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,776.80 : 879,332.40 = 509,757.60 : x
  2. Step 2: Convert to fraction form
    587,776.80/879,332.40 = 509,757.60/x
  3. Step 3: Cross multiply
    587,776.80x = 879,332.40 × 509,757.60
  4. Step 4: Simplify right side
    587,776.80x = 448,246,373,826.24
  5. Step 5: Solve for x
    x = 448,246,373,826.24/587,776.80
  6. Step 6: Final answer
    x = 762,613.25

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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.