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Finding the Fourth Proportional to 287,789.20, 397,130.44 and 160,457.20

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Solution

The fourth proportional to 287,789.20, 397,130.44 and 160,457.20 is: 221,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,789.20 : 397,130.44 = 160,457.20 : x
  2. Step 2: Convert to fraction form
    287,789.20/397,130.44 = 160,457.20/x
  3. Step 3: Cross multiply
    287,789.20x = 397,130.44 × 160,457.20
  4. Step 4: Simplify right side
    287,789.20x = 63,722,438,437.17
  5. Step 5: Solve for x
    x = 63,722,438,437.17/287,789.20
  6. Step 6: Final answer
    x = 221,420.53

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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.