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Finding the Fourth Proportional to 409,948.40, 615,076.20 and 160,809.20

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Solution

The fourth proportional to 409,948.40, 615,076.20 and 160,809.20 is: 241,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,948.40 : 615,076.20 = 160,809.20 : x
  2. Step 2: Convert to fraction form
    409,948.40/615,076.20 = 160,809.20/x
  3. Step 3: Cross multiply
    409,948.40x = 615,076.20 × 160,809.20
  4. Step 4: Simplify right side
    409,948.40x = 98,909,911,661.04
  5. Step 5: Solve for x
    x = 98,909,911,661.04/409,948.40
  6. Step 6: Final answer
    x = 241,274.05

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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.