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Finding the Fourth Proportional to 345,019.66, 517,354.47 and 157,870.78

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Solution

The fourth proportional to 345,019.66, 517,354.47 and 157,870.78 is: 236,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,019.66 : 517,354.47 = 157,870.78 : x
  2. Step 2: Convert to fraction form
    345,019.66/517,354.47 = 157,870.78/x
  3. Step 3: Cross multiply
    345,019.66x = 517,354.47 × 157,870.78
  4. Step 4: Simplify right side
    345,019.66x = 81,675,153,715.39
  5. Step 5: Solve for x
    x = 81,675,153,715.39/345,019.66
  6. Step 6: Final answer
    x = 236,726.09

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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.