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Finding the Fourth Proportional to 278,088, 416,082.24 and 172,412.16

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Solution

The fourth proportional to 278,088, 416,082.24 and 172,412.16 is: 257,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,088 : 416,082.24 = 172,412.16 : x
  2. Step 2: Convert to fraction form
    278,088/416,082.24 = 172,412.16/x
  3. Step 3: Cross multiply
    278,088x = 416,082.24 × 172,412.16
  4. Step 4: Simplify right side
    278,088x = 71,737,637,736.04
  5. Step 5: Solve for x
    x = 71,737,637,736.04/278,088
  6. Step 6: Final answer
    x = 257,967.40

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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.