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Finding the Fourth Proportional to 280,403.28, 386,943.03 and 159,533.28

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Solution

The fourth proportional to 280,403.28, 386,943.03 and 159,533.28 is: 220,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,403.28 : 386,943.03 = 159,533.28 : x
  2. Step 2: Convert to fraction form
    280,403.28/386,943.03 = 159,533.28/x
  3. Step 3: Cross multiply
    280,403.28x = 386,943.03 × 159,533.28
  4. Step 4: Simplify right side
    280,403.28x = 61,730,290,749.04
  5. Step 5: Solve for x
    x = 61,730,290,749.04/280,403.28
  6. Step 6: Final answer
    x = 220,148.25

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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.