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Finding the Fourth Proportional to 306,513.32, 422,456.92 and 288,798.62

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Solution

The fourth proportional to 306,513.32, 422,456.92 and 288,798.62 is: 398,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,513.32 : 422,456.92 = 288,798.62 : x
  2. Step 2: Convert to fraction form
    306,513.32/422,456.92 = 288,798.62/x
  3. Step 3: Cross multiply
    306,513.32x = 422,456.92 × 288,798.62
  4. Step 4: Simplify right side
    306,513.32x = 122,004,972,671.17
  5. Step 5: Solve for x
    x = 122,004,972,671.17/306,513.32
  6. Step 6: Final answer
    x = 398,041.35

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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.