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Finding the Fourth Proportional to 409,946.40, 615,073.20 and 160,807.20

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Solution

The fourth proportional to 409,946.40, 615,073.20 and 160,807.20 is: 241,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,946.40 : 615,073.20 = 160,807.20 : x
  2. Step 2: Convert to fraction form
    409,946.40/615,073.20 = 160,807.20/x
  3. Step 3: Cross multiply
    409,946.40x = 615,073.20 × 160,807.20
  4. Step 4: Simplify right side
    409,946.40x = 98,908,199,087.04
  5. Step 5: Solve for x
    x = 98,908,199,087.04/409,946.40
  6. Step 6: Final answer
    x = 241,271.05

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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.