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Finding the Fourth Proportional to 520,071.80, 780,107.70 and 319,742.60

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Solution

The fourth proportional to 520,071.80, 780,107.70 and 319,742.60 is: 479,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,071.80 : 780,107.70 = 319,742.60 : x
  2. Step 2: Convert to fraction form
    520,071.80/780,107.70 = 319,742.60/x
  3. Step 3: Cross multiply
    520,071.80x = 780,107.70 × 319,742.60
  4. Step 4: Simplify right side
    520,071.80x = 249,433,664,278.02
  5. Step 5: Solve for x
    x = 249,433,664,278.02/520,071.80
  6. Step 6: Final answer
    x = 479,613.90

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Similar ratio
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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.