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Finding the Fourth Proportional to 473,138.90, 709,708.35 and 286,514.90

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Solution

The fourth proportional to 473,138.90, 709,708.35 and 286,514.90 is: 429,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,138.90 : 709,708.35 = 286,514.90 : x
  2. Step 2: Convert to fraction form
    473,138.90/709,708.35 = 286,514.90/x
  3. Step 3: Cross multiply
    473,138.90x = 709,708.35 × 286,514.90
  4. Step 4: Simplify right side
    473,138.90x = 203,342,016,929.42
  5. Step 5: Solve for x
    x = 203,342,016,929.42/473,138.90
  6. Step 6: Final answer
    x = 429,772.35

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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.