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Finding the Fourth Proportional to 279,760.16, 386,064.16 and 152,436.80

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Solution

The fourth proportional to 279,760.16, 386,064.16 and 152,436.80 is: 210,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,760.16 : 386,064.16 = 152,436.80 : x
  2. Step 2: Convert to fraction form
    279,760.16/386,064.16 = 152,436.80/x
  3. Step 3: Cross multiply
    279,760.16x = 386,064.16 × 152,436.80
  4. Step 4: Simplify right side
    279,760.16x = 58,850,385,145.09
  5. Step 5: Solve for x
    x = 58,850,385,145.09/279,760.16
  6. Step 6: Final answer
    x = 210,360.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.