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Finding the Fourth Proportional to 286,502.20, 429,839.70 and 153,446.20

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Solution

The fourth proportional to 286,502.20, 429,839.70 and 153,446.20 is: 230,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,502.20 : 429,839.70 = 153,446.20 : x
  2. Step 2: Convert to fraction form
    286,502.20/429,839.70 = 153,446.20/x
  3. Step 3: Cross multiply
    286,502.20x = 429,839.70 × 153,446.20
  4. Step 4: Simplify right side
    286,502.20x = 65,957,268,574.14
  5. Step 5: Solve for x
    x = 65,957,268,574.14/286,502.20
  6. Step 6: Final answer
    x = 230,215.57

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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.