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Finding the Fourth Proportional to 342,001.90, 512,419.65 and 291,846.70

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Solution

The fourth proportional to 342,001.90, 512,419.65 and 291,846.70 is: 437,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001.90 : 512,419.65 = 291,846.70 : x
  2. Step 2: Convert to fraction form
    342,001.90/512,419.65 = 291,846.70/x
  3. Step 3: Cross multiply
    342,001.90x = 512,419.65 × 291,846.70
  4. Step 4: Simplify right side
    342,001.90x = 149,547,983,867.66
  5. Step 5: Solve for x
    x = 149,547,983,867.66/342,001.90
  6. Step 6: Final answer
    x = 437,272.38

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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.