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Finding the Fourth Proportional to 277,489.16, 416,065.18 and 108,807.40

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Solution

The fourth proportional to 277,489.16, 416,065.18 and 108,807.40 is: 163,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.16 : 416,065.18 = 108,807.40 : x
  2. Step 2: Convert to fraction form
    277,489.16/416,065.18 = 108,807.40/x
  3. Step 3: Cross multiply
    277,489.16x = 416,065.18 × 108,807.40
  4. Step 4: Simplify right side
    277,489.16x = 45,270,969,154.15
  5. Step 5: Solve for x
    x = 45,270,969,154.15/277,489.16
  6. Step 6: Final answer
    x = 163,145.00

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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.