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Finding the Fourth Proportional to 279,894, 386,252.64 and 152,569.20

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Solution

The fourth proportional to 279,894, 386,252.64 and 152,569.20 is: 210,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,894 : 386,252.64 = 152,569.20 : x
  2. Step 2: Convert to fraction form
    279,894/386,252.64 = 152,569.20/x
  3. Step 3: Cross multiply
    279,894x = 386,252.64 × 152,569.20
  4. Step 4: Simplify right side
    279,894x = 58,930,256,282.69
  5. Step 5: Solve for x
    x = 58,930,256,282.69/279,894
  6. Step 6: Final answer
    x = 210,544.91

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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.