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Finding the Fourth Proportional to 381,451.58, 572,554.02 and 286,351.10

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Solution

The fourth proportional to 381,451.58, 572,554.02 and 286,351.10 is: 429,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,451.58 : 572,554.02 = 286,351.10 : x
  2. Step 2: Convert to fraction form
    381,451.58/572,554.02 = 286,351.10/x
  3. Step 3: Cross multiply
    381,451.58x = 572,554.02 × 286,351.10
  4. Step 4: Simplify right side
    381,451.58x = 163,951,473,436.42
  5. Step 5: Solve for x
    x = 163,951,473,436.42/381,451.58
  6. Step 6: Final answer
    x = 429,809.40

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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.