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Finding the Fourth Proportional to 420,883.68, 580,647.51 and 310,766.23

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Solution

The fourth proportional to 420,883.68, 580,647.51 and 310,766.23 is: 428,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,883.68 : 580,647.51 = 310,766.23 : x
  2. Step 2: Convert to fraction form
    420,883.68/580,647.51 = 310,766.23/x
  3. Step 3: Cross multiply
    420,883.68x = 580,647.51 × 310,766.23
  4. Step 4: Simplify right side
    420,883.68x = 180,445,637,641.59
  5. Step 5: Solve for x
    x = 180,445,637,641.59/420,883.68
  6. Step 6: Final answer
    x = 428,730.42

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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.