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Finding the Fourth Proportional to 286,424.28, 429,757.92 and 153,270

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Solution

The fourth proportional to 286,424.28, 429,757.92 and 153,270 is: 229,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,424.28 : 429,757.92 = 153,270 : x
  2. Step 2: Convert to fraction form
    286,424.28/429,757.92 = 153,270/x
  3. Step 3: Cross multiply
    286,424.28x = 429,757.92 × 153,270
  4. Step 4: Simplify right side
    286,424.28x = 65,868,996,398.40
  5. Step 5: Solve for x
    x = 65,868,996,398.40/286,424.28
  6. Step 6: Final answer
    x = 229,970.02

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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.