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Finding the Fourth Proportional to 398,529.83, 549,960.16 and 217,245.28

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Solution

The fourth proportional to 398,529.83, 549,960.16 and 217,245.28 is: 299,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,529.83 : 549,960.16 = 217,245.28 : x
  2. Step 2: Convert to fraction form
    398,529.83/549,960.16 = 217,245.28/x
  3. Step 3: Cross multiply
    398,529.83x = 549,960.16 × 217,245.28
  4. Step 4: Simplify right side
    398,529.83x = 119,476,248,948.05
  5. Step 5: Solve for x
    x = 119,476,248,948.05/398,529.83
  6. Step 6: Final answer
    x = 299,792.49

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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.