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Finding the Fourth Proportional to 586,002.80, 879,587.40 and 286,821.20

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Solution

The fourth proportional to 586,002.80, 879,587.40 and 286,821.20 is: 430,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,002.80 : 879,587.40 = 286,821.20 : x
  2. Step 2: Convert to fraction form
    586,002.80/879,587.40 = 286,821.20/x
  3. Step 3: Cross multiply
    586,002.80x = 879,587.40 × 286,821.20
  4. Step 4: Simplify right side
    586,002.80x = 252,284,313,572.88
  5. Step 5: Solve for x
    x = 252,284,313,572.88/586,002.80
  6. Step 6: Final answer
    x = 430,517.25

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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.