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Finding the Fourth Proportional to 287,323.86, 396,507.51 and 160,004.01

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Solution

The fourth proportional to 287,323.86, 396,507.51 and 160,004.01 is: 220,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,323.86 : 396,507.51 = 160,004.01 : x
  2. Step 2: Convert to fraction form
    287,323.86/396,507.51 = 160,004.01/x
  3. Step 3: Cross multiply
    287,323.86x = 396,507.51 × 160,004.01
  4. Step 4: Simplify right side
    287,323.86x = 63,442,791,595.12
  5. Step 5: Solve for x
    x = 63,442,791,595.12/287,323.86
  6. Step 6: Final answer
    x = 220,805.86

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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.