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Finding the Fourth Proportional to 280,273.71, 386,785.94 and 152,957.49

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Solution

The fourth proportional to 280,273.71, 386,785.94 and 152,957.49 is: 211,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,273.71 : 386,785.94 = 152,957.49 : x
  2. Step 2: Convert to fraction form
    280,273.71/386,785.94 = 152,957.49/x
  3. Step 3: Cross multiply
    280,273.71x = 386,785.94 × 152,957.49
  4. Step 4: Simplify right side
    280,273.71x = 59,161,805,784.90
  5. Step 5: Solve for x
    x = 59,161,805,784.90/280,273.71
  6. Step 6: Final answer
    x = 211,085.82

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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.