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Finding the Fourth Proportional to 342,396, 513,827.28 and 120,780

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Solution

The fourth proportional to 342,396, 513,827.28 and 120,780 is: 181,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,396 : 513,827.28 = 120,780 : x
  2. Step 2: Convert to fraction form
    342,396/513,827.28 = 120,780/x
  3. Step 3: Cross multiply
    342,396x = 513,827.28 × 120,780
  4. Step 4: Simplify right side
    342,396x = 62,060,058,878.40
  5. Step 5: Solve for x
    x = 62,060,058,878.40/342,396
  6. Step 6: Final answer
    x = 181,252.29

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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.