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Finding the Fourth Proportional to 280,263.96, 386,772.42 and 152,947.72

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Solution

The fourth proportional to 280,263.96, 386,772.42 and 152,947.72 is: 211,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,263.96 : 386,772.42 = 152,947.72 : x
  2. Step 2: Convert to fraction form
    280,263.96/386,772.42 = 152,947.72/x
  3. Step 3: Cross multiply
    280,263.96x = 386,772.42 × 152,947.72
  4. Step 4: Simplify right side
    280,263.96x = 59,155,959,797.88
  5. Step 5: Solve for x
    x = 59,155,959,797.88/280,263.96
  6. Step 6: Final answer
    x = 211,072.30

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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.