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Finding the Fourth Proportional to 381,602.88, 571,315.68 and 302,832

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Solution

The fourth proportional to 381,602.88, 571,315.68 and 302,832 is: 453,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,602.88 : 571,315.68 = 302,832 : x
  2. Step 2: Convert to fraction form
    381,602.88/571,315.68 = 302,832/x
  3. Step 3: Cross multiply
    381,602.88x = 571,315.68 × 302,832
  4. Step 4: Simplify right side
    381,602.88x = 173,012,670,005.76
  5. Step 5: Solve for x
    x = 173,012,670,005.76/381,602.88
  6. Step 6: Final answer
    x = 453,384.08

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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.