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Finding the Fourth Proportional to 340,147.60, 510,275.40 and 115,529.20

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Solution

The fourth proportional to 340,147.60, 510,275.40 and 115,529.20 is: 173,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,147.60 : 510,275.40 = 115,529.20 : x
  2. Step 2: Convert to fraction form
    340,147.60/510,275.40 = 115,529.20/x
  3. Step 3: Cross multiply
    340,147.60x = 510,275.40 × 115,529.20
  4. Step 4: Simplify right side
    340,147.60x = 58,951,708,741.68
  5. Step 5: Solve for x
    x = 58,951,708,741.68/340,147.60
  6. Step 6: Final answer
    x = 173,312.14

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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.