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Finding the Fourth Proportional to 398,200.80, 549,630 and 262,333.92

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Solution

The fourth proportional to 398,200.80, 549,630 and 262,333.92 is: 362,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,200.80 : 549,630 = 262,333.92 : x
  2. Step 2: Convert to fraction form
    398,200.80/549,630 = 262,333.92/x
  3. Step 3: Cross multiply
    398,200.80x = 549,630 × 262,333.92
  4. Step 4: Simplify right side
    398,200.80x = 144,186,592,449.60
  5. Step 5: Solve for x
    x = 144,186,592,449.60/398,200.80
  6. Step 6: Final answer
    x = 362,095.19

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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.