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Finding the Fourth Proportional to 442,790.16, 611,248.32 and 299,983.92

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Solution

The fourth proportional to 442,790.16, 611,248.32 and 299,983.92 is: 414,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,790.16 : 611,248.32 = 299,983.92 : x
  2. Step 2: Convert to fraction form
    442,790.16/611,248.32 = 299,983.92/x
  3. Step 3: Cross multiply
    442,790.16x = 611,248.32 × 299,983.92
  4. Step 4: Simplify right side
    442,790.16x = 183,364,667,127.01
  5. Step 5: Solve for x
    x = 183,364,667,127.01/442,790.16
  6. Step 6: Final answer
    x = 414,111.88

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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.