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Finding the Fourth Proportional to 398,523, 549,961.24 and 217,235.28

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Solution

The fourth proportional to 398,523, 549,961.24 and 217,235.28 is: 299,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,523 : 549,961.24 = 217,235.28 : x
  2. Step 2: Convert to fraction form
    398,523/549,961.24 = 217,235.28/x
  3. Step 3: Cross multiply
    398,523x = 549,961.24 × 217,235.28
  4. Step 4: Simplify right side
    398,523x = 119,470,983,960.55
  5. Step 5: Solve for x
    x = 119,470,983,960.55/398,523
  6. Step 6: Final answer
    x = 299,784.41

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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.