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Finding the Fourth Proportional to 312,577.20, 468,209.70 and 260,089.20

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Solution

The fourth proportional to 312,577.20, 468,209.70 and 260,089.20 is: 389,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,577.20 : 468,209.70 = 260,089.20 : x
  2. Step 2: Convert to fraction form
    312,577.20/468,209.70 = 260,089.20/x
  3. Step 3: Cross multiply
    312,577.20x = 468,209.70 × 260,089.20
  4. Step 4: Simplify right side
    312,577.20x = 121,776,286,305.24
  5. Step 5: Solve for x
    x = 121,776,286,305.24/312,577.20
  6. Step 6: Final answer
    x = 389,587.87

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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.