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Finding the Fourth Proportional to 549,897.60, 825,105.60 and 409,929.60

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Solution

The fourth proportional to 549,897.60, 825,105.60 and 409,929.60 is: 615,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,897.60 : 825,105.60 = 409,929.60 : x
  2. Step 2: Convert to fraction form
    549,897.60/825,105.60 = 409,929.60/x
  3. Step 3: Cross multiply
    549,897.60x = 825,105.60 × 409,929.60
  4. Step 4: Simplify right side
    549,897.60x = 338,235,208,565.76
  5. Step 5: Solve for x
    x = 338,235,208,565.76/549,897.60
  6. Step 6: Final answer
    x = 615,087.62

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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.