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Finding the Fourth Proportional to 340,098.10, 510,147.15 and 319,102.90

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Solution

The fourth proportional to 340,098.10, 510,147.15 and 319,102.90 is: 478,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,098.10 : 510,147.15 = 319,102.90 : x
  2. Step 2: Convert to fraction form
    340,098.10/510,147.15 = 319,102.90/x
  3. Step 3: Cross multiply
    340,098.10x = 510,147.15 × 319,102.90
  4. Step 4: Simplify right side
    340,098.10x = 162,789,434,991.74
  5. Step 5: Solve for x
    x = 162,789,434,991.74/340,098.10
  6. Step 6: Final answer
    x = 478,654.35

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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.