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Finding the Fourth Proportional to 280,153, 386,610.60 and 152,828.56

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Solution

The fourth proportional to 280,153, 386,610.60 and 152,828.56 is: 210,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,153 : 386,610.60 = 152,828.56 : x
  2. Step 2: Convert to fraction form
    280,153/386,610.60 = 152,828.56/x
  3. Step 3: Cross multiply
    280,153x = 386,610.60 × 152,828.56
  4. Step 4: Simplify right side
    280,153x = 59,085,141,278.74
  5. Step 5: Solve for x
    x = 59,085,141,278.74/280,153
  6. Step 6: Final answer
    x = 210,903.12

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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.