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Finding the Fourth Proportional to 287,895.99, 397,282.61 and 157,065.86

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Solution

The fourth proportional to 287,895.99, 397,282.61 and 157,065.86 is: 216,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,895.99 : 397,282.61 = 157,065.86 : x
  2. Step 2: Convert to fraction form
    287,895.99/397,282.61 = 157,065.86/x
  3. Step 3: Cross multiply
    287,895.99x = 397,282.61 × 157,065.86
  4. Step 4: Simplify right side
    287,895.99x = 62,399,532,030.95
  5. Step 5: Solve for x
    x = 62,399,532,030.95/287,895.99
  6. Step 6: Final answer
    x = 216,743.32

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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.