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Finding the Fourth Proportional to 278,116.64, 383,798.64 and 157,281.65

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Solution

The fourth proportional to 278,116.64, 383,798.64 and 157,281.65 is: 217,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,116.64 : 383,798.64 = 157,281.65 : x
  2. Step 2: Convert to fraction form
    278,116.64/383,798.64 = 157,281.65/x
  3. Step 3: Cross multiply
    278,116.64x = 383,798.64 × 157,281.65
  4. Step 4: Simplify right side
    278,116.64x = 60,364,480,661.55
  5. Step 5: Solve for x
    x = 60,364,480,661.55/278,116.64
  6. Step 6: Final answer
    x = 217,047.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.