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Finding the Fourth Proportional to 385,342.71, 578,069.40 and 119,123.98

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Solution

The fourth proportional to 385,342.71, 578,069.40 and 119,123.98 is: 178,703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,342.71 : 578,069.40 = 119,123.98 : x
  2. Step 2: Convert to fraction form
    385,342.71/578,069.40 = 119,123.98/x
  3. Step 3: Cross multiply
    385,342.71x = 578,069.40 × 119,123.98
  4. Step 4: Simplify right side
    385,342.71x = 68,861,926,645.75
  5. Step 5: Solve for x
    x = 68,861,926,645.75/385,342.71
  6. Step 6: Final answer
    x = 178,703.08

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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.