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Finding the Fourth Proportional to 287,647.52, 396,967.20 and 160,324.08

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Solution

The fourth proportional to 287,647.52, 396,967.20 and 160,324.08 is: 221,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,647.52 : 396,967.20 = 160,324.08 : x
  2. Step 2: Convert to fraction form
    287,647.52/396,967.20 = 160,324.08/x
  3. Step 3: Cross multiply
    287,647.52x = 396,967.20 × 160,324.08
  4. Step 4: Simplify right side
    287,647.52x = 63,643,401,130.18
  5. Step 5: Solve for x
    x = 63,643,401,130.18/287,647.52
  6. Step 6: Final answer
    x = 221,254.82

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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.