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Finding the Fourth Proportional to 398,073.14, 549,316.04 and 219,225.14

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Solution

The fourth proportional to 398,073.14, 549,316.04 and 219,225.14 is: 302,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,073.14 : 549,316.04 = 219,225.14 : x
  2. Step 2: Convert to fraction form
    398,073.14/549,316.04 = 219,225.14/x
  3. Step 3: Cross multiply
    398,073.14x = 549,316.04 × 219,225.14
  4. Step 4: Simplify right side
    398,073.14x = 120,423,885,773.25
  5. Step 5: Solve for x
    x = 120,423,885,773.25/398,073.14
  6. Step 6: Final answer
    x = 302,516.98

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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.