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Finding the Fourth Proportional to 398,140.04, 549,433.22 and 219,292.04

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Solution

The fourth proportional to 398,140.04, 549,433.22 and 219,292.04 is: 302,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,140.04 : 549,433.22 = 219,292.04 : x
  2. Step 2: Convert to fraction form
    398,140.04/549,433.22 = 219,292.04/x
  3. Step 3: Cross multiply
    398,140.04x = 549,433.22 × 219,292.04
  4. Step 4: Simplify right side
    398,140.04x = 120,486,331,657.57
  5. Step 5: Solve for x
    x = 120,486,331,657.57/398,140.04
  6. Step 6: Final answer
    x = 302,623.00

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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.