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Finding the Fourth Proportional to 398,403.10, 549,782.32 and 217,111.32

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Solution

The fourth proportional to 398,403.10, 549,782.32 and 217,111.32 is: 299,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,403.10 : 549,782.32 = 217,111.32 : x
  2. Step 2: Convert to fraction form
    398,403.10/549,782.32 = 217,111.32/x
  3. Step 3: Cross multiply
    398,403.10x = 549,782.32 × 217,111.32
  4. Step 4: Simplify right side
    398,403.10x = 119,363,965,207.86
  5. Step 5: Solve for x
    x = 119,363,965,207.86/398,403.10
  6. Step 6: Final answer
    x = 299,606.02

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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.