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Finding the Fourth Proportional to 549,259.60, 822,276.60 and 409,637.20

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Solution

The fourth proportional to 549,259.60, 822,276.60 and 409,637.20 is: 613,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,259.60 : 822,276.60 = 409,637.20 : x
  2. Step 2: Convert to fraction form
    549,259.60/822,276.60 = 409,637.20/x
  3. Step 3: Cross multiply
    549,259.60x = 822,276.60 × 409,637.20
  4. Step 4: Simplify right side
    549,259.60x = 336,835,084,049.52
  5. Step 5: Solve for x
    x = 336,835,084,049.52/549,259.60
  6. Step 6: Final answer
    x = 613,252.98

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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.