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Finding the Fourth Proportional to 385,616.20, 578,337.90 and 253,424.20

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Solution

The fourth proportional to 385,616.20, 578,337.90 and 253,424.20 is: 380,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,616.20 : 578,337.90 = 253,424.20 : x
  2. Step 2: Convert to fraction form
    385,616.20/578,337.90 = 253,424.20/x
  3. Step 3: Cross multiply
    385,616.20x = 578,337.90 × 253,424.20
  4. Step 4: Simplify right side
    385,616.20x = 146,564,819,637.18
  5. Step 5: Solve for x
    x = 146,564,819,637.18/385,616.20
  6. Step 6: Final answer
    x = 380,079.52

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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.