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Finding the Fourth Proportional to 317,159.76, 474,748.20 and 204,689.64

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Solution

The fourth proportional to 317,159.76, 474,748.20 and 204,689.64 is: 306,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,159.76 : 474,748.20 = 204,689.64 : x
  2. Step 2: Convert to fraction form
    317,159.76/474,748.20 = 204,689.64/x
  3. Step 3: Cross multiply
    317,159.76x = 474,748.20 × 204,689.64
  4. Step 4: Simplify right side
    317,159.76x = 97,176,038,148.65
  5. Step 5: Solve for x
    x = 97,176,038,148.65/317,159.76
  6. Step 6: Final answer
    x = 306,394.60

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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.