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Finding the Fourth Proportional to 398,218.40, 549,541.15 and 219,370.40

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Solution

The fourth proportional to 398,218.40, 549,541.15 and 219,370.40 is: 302,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,218.40 : 549,541.15 = 219,370.40 : x
  2. Step 2: Convert to fraction form
    398,218.40/549,541.15 = 219,370.40/x
  3. Step 3: Cross multiply
    398,218.40x = 549,541.15 × 219,370.40
  4. Step 4: Simplify right side
    398,218.40x = 120,553,058,047.40
  5. Step 5: Solve for x
    x = 120,553,058,047.40/398,218.40
  6. Step 6: Final answer
    x = 302,731.01

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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.