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Finding the Fourth Proportional to 287,340.40, 396,533.64 and 160,019.20

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Solution

The fourth proportional to 287,340.40, 396,533.64 and 160,019.20 is: 220,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,340.40 : 396,533.64 = 160,019.20 : x
  2. Step 2: Convert to fraction form
    287,340.40/396,533.64 = 160,019.20/x
  3. Step 3: Cross multiply
    287,340.40x = 396,533.64 × 160,019.20
  4. Step 4: Simplify right side
    287,340.40x = 63,452,995,845.89
  5. Step 5: Solve for x
    x = 63,452,995,845.89/287,340.40
  6. Step 6: Final answer
    x = 220,828.66

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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.