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Finding the Fourth Proportional to 398,244.08, 549,574.11 and 216,956.16

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Solution

The fourth proportional to 398,244.08, 549,574.11 and 216,956.16 is: 299,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,244.08 : 549,574.11 = 216,956.16 : x
  2. Step 2: Convert to fraction form
    398,244.08/549,574.11 = 216,956.16/x
  3. Step 3: Cross multiply
    398,244.08x = 549,574.11 × 216,956.16
  4. Step 4: Simplify right side
    398,244.08x = 119,233,488,541.02
  5. Step 5: Solve for x
    x = 119,233,488,541.02/398,244.08
  6. Step 6: Final answer
    x = 299,398.02

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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.