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Finding the Fourth Proportional to 287,976.14, 397,397.78 and 157,148.78

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Solution

The fourth proportional to 287,976.14, 397,397.78 and 157,148.78 is: 216,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,976.14 : 397,397.78 = 157,148.78 : x
  2. Step 2: Convert to fraction form
    287,976.14/397,397.78 = 157,148.78/x
  3. Step 3: Cross multiply
    287,976.14x = 397,397.78 × 157,148.78
  4. Step 4: Simplify right side
    287,976.14x = 62,450,576,301.71
  5. Step 5: Solve for x
    x = 62,450,576,301.71/287,976.14
  6. Step 6: Final answer
    x = 216,860.25

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1.5x scale

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.