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Finding the Fourth Proportional to 398,115, 549,387.63 and 216,822.96

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Solution

The fourth proportional to 398,115, 549,387.63 and 216,822.96 is: 299,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,115 : 549,387.63 = 216,822.96 : x
  2. Step 2: Convert to fraction form
    398,115/549,387.63 = 216,822.96/x
  3. Step 3: Cross multiply
    398,115x = 549,387.63 × 216,822.96
  4. Step 4: Simplify right side
    398,115x = 119,119,852,123.99
  5. Step 5: Solve for x
    x = 119,119,852,123.99/398,115
  6. Step 6: Final answer
    x = 299,209.66

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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.