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Finding the Fourth Proportional to 280,785, 421,374.32 and 162,293.32

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Solution

The fourth proportional to 280,785, 421,374.32 and 162,293.32 is: 243,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,785 : 421,374.32 = 162,293.32 : x
  2. Step 2: Convert to fraction form
    280,785/421,374.32 = 162,293.32/x
  3. Step 3: Cross multiply
    280,785x = 421,374.32 × 162,293.32
  4. Step 4: Simplify right side
    280,785x = 68,386,237,355.54
  5. Step 5: Solve for x
    x = 68,386,237,355.54/280,785
  6. Step 6: Final answer
    x = 243,553.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.