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Finding the Fourth Proportional to 420,466.40, 580,726.32 and 306,253.92

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Solution

The fourth proportional to 420,466.40, 580,726.32 and 306,253.92 is: 422,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,466.40 : 580,726.32 = 306,253.92 : x
  2. Step 2: Convert to fraction form
    420,466.40/580,726.32 = 306,253.92/x
  3. Step 3: Cross multiply
    420,466.40x = 580,726.32 × 306,253.92
  4. Step 4: Simplify right side
    420,466.40x = 177,849,711,947.17
  5. Step 5: Solve for x
    x = 177,849,711,947.17/420,466.40
  6. Step 6: Final answer
    x = 422,981.98

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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.