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Finding the Fourth Proportional to 366,812.80, 549,899.20 and 142,326.40

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Solution

The fourth proportional to 366,812.80, 549,899.20 and 142,326.40 is: 213,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,812.80 : 549,899.20 = 142,326.40 : x
  2. Step 2: Convert to fraction form
    366,812.80/549,899.20 = 142,326.40/x
  3. Step 3: Cross multiply
    366,812.80x = 549,899.20 × 142,326.40
  4. Step 4: Simplify right side
    366,812.80x = 78,265,173,498.88
  5. Step 5: Solve for x
    x = 78,265,173,498.88/366,812.80
  6. Step 6: Final answer
    x = 213,365.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.