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Finding the Fourth Proportional to 398,157.12, 549,460.08 and 216,869.76

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Solution

The fourth proportional to 398,157.12, 549,460.08 and 216,869.76 is: 299,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,157.12 : 549,460.08 = 216,869.76 : x
  2. Step 2: Convert to fraction form
    398,157.12/549,460.08 = 216,869.76/x
  3. Step 3: Cross multiply
    398,157.12x = 549,460.08 × 216,869.76
  4. Step 4: Simplify right side
    398,157.12x = 119,161,275,679.18
  5. Step 5: Solve for x
    x = 119,161,275,679.18/398,157.12
  6. Step 6: Final answer
    x = 299,282.04

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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.