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Finding the Fourth Proportional to 398,164.72, 549,373.08 and 226,045.36

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Solution

The fourth proportional to 398,164.72, 549,373.08 and 226,045.36 is: 311,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,164.72 : 549,373.08 = 226,045.36 : x
  2. Step 2: Convert to fraction form
    398,164.72/549,373.08 = 226,045.36/x
  3. Step 3: Cross multiply
    398,164.72x = 549,373.08 × 226,045.36
  4. Step 4: Simplify right side
    398,164.72x = 124,183,235,642.91
  5. Step 5: Solve for x
    x = 124,183,235,642.91/398,164.72
  6. Step 6: Final answer
    x = 311,889.10

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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.