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Finding the Fourth Proportional to 398,290.68, 549,638.10 and 217,002.06

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Solution

The fourth proportional to 398,290.68, 549,638.10 and 217,002.06 is: 299,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,290.68 : 549,638.10 = 217,002.06 : x
  2. Step 2: Convert to fraction form
    398,290.68/549,638.10 = 217,002.06/x
  3. Step 3: Cross multiply
    398,290.68x = 549,638.10 × 217,002.06
  4. Step 4: Simplify right side
    398,290.68x = 119,272,599,954.49
  5. Step 5: Solve for x
    x = 119,272,599,954.49/398,290.68
  6. Step 6: Final answer
    x = 299,461.19

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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.