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Finding the Fourth Proportional to 409,961.73, 615,132.54 and 157,157.76

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Solution

The fourth proportional to 409,961.73, 615,132.54 and 157,157.76 is: 235,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,961.73 : 615,132.54 = 157,157.76 : x
  2. Step 2: Convert to fraction form
    409,961.73/615,132.54 = 157,157.76/x
  3. Step 3: Cross multiply
    409,961.73x = 615,132.54 × 157,157.76
  4. Step 4: Simplify right side
    409,961.73x = 96,672,852,089.51
  5. Step 5: Solve for x
    x = 96,672,852,089.51/409,961.73
  6. Step 6: Final answer
    x = 235,809.45

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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.