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Finding the Fourth Proportional to 385,650.61, 578,381.49 and 161,012.89

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Solution

The fourth proportional to 385,650.61, 578,381.49 and 161,012.89 is: 241,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,650.61 : 578,381.49 = 161,012.89 : x
  2. Step 2: Convert to fraction form
    385,650.61/578,381.49 = 161,012.89/x
  3. Step 3: Cross multiply
    385,650.61x = 578,381.49 × 161,012.89
  4. Step 4: Simplify right side
    385,650.61x = 93,126,875,227.41
  5. Step 5: Solve for x
    x = 93,126,875,227.41/385,650.61
  6. Step 6: Final answer
    x = 241,479.91

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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.