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Finding the Fourth Proportional to 407,925.64, 611,796.06 and 155,116

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Solution

The fourth proportional to 407,925.64, 611,796.06 and 155,116 is: 232,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,925.64 : 611,796.06 = 155,116 : x
  2. Step 2: Convert to fraction form
    407,925.64/611,796.06 = 155,116/x
  3. Step 3: Cross multiply
    407,925.64x = 611,796.06 × 155,116
  4. Step 4: Simplify right side
    407,925.64x = 94,899,357,642.96
  5. Step 5: Solve for x
    x = 94,899,357,642.96/407,925.64
  6. Step 6: Final answer
    x = 232,638.86

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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.