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Finding the Fourth Proportional to 410,616.36, 615,946.32 and 130,155.48

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Solution

The fourth proportional to 410,616.36, 615,946.32 and 130,155.48 is: 195,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,616.36 : 615,946.32 = 130,155.48 : x
  2. Step 2: Convert to fraction form
    410,616.36/615,946.32 = 130,155.48/x
  3. Step 3: Cross multiply
    410,616.36x = 615,946.32 × 130,155.48
  4. Step 4: Simplify right side
    410,616.36x = 80,168,788,933.83
  5. Step 5: Solve for x
    x = 80,168,788,933.83/410,616.36
  6. Step 6: Final answer
    x = 195,240.12

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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.