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Finding the Fourth Proportional to 287,346.86, 396,510.28 and 160,034.30

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Solution

The fourth proportional to 287,346.86, 396,510.28 and 160,034.30 is: 220,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,346.86 : 396,510.28 = 160,034.30 : x
  2. Step 2: Convert to fraction form
    287,346.86/396,510.28 = 160,034.30/x
  3. Step 3: Cross multiply
    287,346.86x = 396,510.28 × 160,034.30
  4. Step 4: Simplify right side
    287,346.86x = 63,455,242,719.97
  5. Step 5: Solve for x
    x = 63,455,242,719.97/287,346.86
  6. Step 6: Final answer
    x = 220,831.52

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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.