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Finding the Fourth Proportional to 398,558, 549,982.50 and 224,154.32

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Solution

The fourth proportional to 398,558, 549,982.50 and 224,154.32 is: 309,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,558 : 549,982.50 = 224,154.32 : x
  2. Step 2: Convert to fraction form
    398,558/549,982.50 = 224,154.32/x
  3. Step 3: Cross multiply
    398,558x = 549,982.50 × 224,154.32
  4. Step 4: Simplify right side
    398,558x = 123,280,953,299.40
  5. Step 5: Solve for x
    x = 123,280,953,299.40/398,558
  6. Step 6: Final answer
    x = 309,317.47

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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.