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Finding the Fourth Proportional to 398,428.61, 549,815.31 and 217,136.70

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Solution

The fourth proportional to 398,428.61, 549,815.31 and 217,136.70 is: 299,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,428.61 : 549,815.31 = 217,136.70 : x
  2. Step 2: Convert to fraction form
    398,428.61/549,815.31 = 217,136.70/x
  3. Step 3: Cross multiply
    398,428.61x = 549,815.31 × 217,136.70
  4. Step 4: Simplify right side
    398,428.61x = 119,385,082,022.88
  5. Step 5: Solve for x
    x = 119,385,082,022.88/398,428.61
  6. Step 6: Final answer
    x = 299,639.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.