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Finding the Fourth Proportional to 342,008.40, 512,429.40 and 291,853.20

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Solution

The fourth proportional to 342,008.40, 512,429.40 and 291,853.20 is: 437,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,008.40 : 512,429.40 = 291,853.20 : x
  2. Step 2: Convert to fraction form
    342,008.40/512,429.40 = 291,853.20/x
  3. Step 3: Cross multiply
    342,008.40x = 512,429.40 × 291,853.20
  4. Step 4: Simplify right side
    342,008.40x = 149,554,160,164.08
  5. Step 5: Solve for x
    x = 149,554,160,164.08/342,008.40
  6. Step 6: Final answer
    x = 437,282.13

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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.