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Finding the Fourth Proportional to 345,419.10, 518,128.65 and 145,686.47

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Solution

The fourth proportional to 345,419.10, 518,128.65 and 145,686.47 is: 218,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,419.10 : 518,128.65 = 145,686.47 : x
  2. Step 2: Convert to fraction form
    345,419.10/518,128.65 = 145,686.47/x
  3. Step 3: Cross multiply
    345,419.10x = 518,128.65 × 145,686.47
  4. Step 4: Simplify right side
    345,419.10x = 75,484,331,433.72
  5. Step 5: Solve for x
    x = 75,484,331,433.72/345,419.10
  6. Step 6: Final answer
    x = 218,529.70

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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.