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Finding the Fourth Proportional to 312,585, 469,123.50 and 160,775.88

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Solution

The fourth proportional to 312,585, 469,123.50 and 160,775.88 is: 241,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,585 : 469,123.50 = 160,775.88 : x
  2. Step 2: Convert to fraction form
    312,585/469,123.50 = 160,775.88/x
  3. Step 3: Cross multiply
    312,585x = 469,123.50 × 160,775.88
  4. Step 4: Simplify right side
    312,585x = 75,423,743,541.18
  5. Step 5: Solve for x
    x = 75,423,743,541.18/312,585
  6. Step 6: Final answer
    x = 241,290.35

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1.5x scale

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.