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Finding the Fourth Proportional to 317,434.80, 476,152.20 and 312,769.20

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Solution

The fourth proportional to 317,434.80, 476,152.20 and 312,769.20 is: 469,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,434.80 : 476,152.20 = 312,769.20 : x
  2. Step 2: Convert to fraction form
    317,434.80/476,152.20 = 312,769.20/x
  3. Step 3: Cross multiply
    317,434.80x = 476,152.20 × 312,769.20
  4. Step 4: Simplify right side
    317,434.80x = 148,925,742,672.24
  5. Step 5: Solve for x
    x = 148,925,742,672.24/317,434.80
  6. Step 6: Final answer
    x = 469,153.80

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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.