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Finding the Fourth Proportional to 398,136.54, 549,441.05 and 216,853.95

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Solution

The fourth proportional to 398,136.54, 549,441.05 and 216,853.95 is: 299,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,136.54 : 549,441.05 = 216,853.95 : x
  2. Step 2: Convert to fraction form
    398,136.54/549,441.05 = 216,853.95/x
  3. Step 3: Cross multiply
    398,136.54x = 549,441.05 × 216,853.95
  4. Step 4: Simplify right side
    398,136.54x = 119,148,460,900.38
  5. Step 5: Solve for x
    x = 119,148,460,900.38/398,136.54
  6. Step 6: Final answer
    x = 299,265.32

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1.5x scale

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.