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Finding the Fourth Proportional to 342,469, 513,705.12 and 120,853

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Solution

The fourth proportional to 342,469, 513,705.12 and 120,853 is: 181,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,469 : 513,705.12 = 120,853 : x
  2. Step 2: Convert to fraction form
    342,469/513,705.12 = 120,853/x
  3. Step 3: Cross multiply
    342,469x = 513,705.12 × 120,853
  4. Step 4: Simplify right side
    342,469x = 62,082,804,867.36
  5. Step 5: Solve for x
    x = 62,082,804,867.36/342,469
  6. Step 6: Final answer
    x = 181,280.07

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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.