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Finding the Fourth Proportional to 398,343.83, 549,707.37 and 217,057.32

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Solution

The fourth proportional to 398,343.83, 549,707.37 and 217,057.32 is: 299,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,343.83 : 549,707.37 = 217,057.32 : x
  2. Step 2: Convert to fraction form
    398,343.83/549,707.37 = 217,057.32/x
  3. Step 3: Cross multiply
    398,343.83x = 549,707.37 × 217,057.32
  4. Step 4: Simplify right side
    398,343.83x = 119,318,007,702.48
  5. Step 5: Solve for x
    x = 119,318,007,702.48/398,343.83
  6. Step 6: Final answer
    x = 299,535.23

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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.