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Finding the Fourth Proportional to 409,265.60, 615,210.60 and 291,750.80

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Solution

The fourth proportional to 409,265.60, 615,210.60 and 291,750.80 is: 438,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,265.60 : 615,210.60 = 291,750.80 : x
  2. Step 2: Convert to fraction form
    409,265.60/615,210.60 = 291,750.80/x
  3. Step 3: Cross multiply
    409,265.60x = 615,210.60 × 291,750.80
  4. Step 4: Simplify right side
    409,265.60x = 179,488,184,718.48
  5. Step 5: Solve for x
    x = 179,488,184,718.48/409,265.60
  6. Step 6: Final answer
    x = 438,561.62

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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.