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Finding the Fourth Proportional to 549,123.60, 822,072.60 and 409,501.20

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Solution

The fourth proportional to 549,123.60, 822,072.60 and 409,501.20 is: 613,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,123.60 : 822,072.60 = 409,501.20 : x
  2. Step 2: Convert to fraction form
    549,123.60/822,072.60 = 409,501.20/x
  3. Step 3: Cross multiply
    549,123.60x = 822,072.60 × 409,501.20
  4. Step 4: Simplify right side
    549,123.60x = 336,639,716,187.12
  5. Step 5: Solve for x
    x = 336,639,716,187.12/549,123.60
  6. Step 6: Final answer
    x = 613,049.08

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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.