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Finding the Fourth Proportional to 419,545.60, 578,937.60 and 238,220.80

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Solution

The fourth proportional to 419,545.60, 578,937.60 and 238,220.80 is: 328,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,545.60 : 578,937.60 = 238,220.80 : x
  2. Step 2: Convert to fraction form
    419,545.60/578,937.60 = 238,220.80/x
  3. Step 3: Cross multiply
    419,545.60x = 578,937.60 × 238,220.80
  4. Step 4: Simplify right side
    419,545.60x = 137,914,978,222.08
  5. Step 5: Solve for x
    x = 137,914,978,222.08/419,545.60
  6. Step 6: Final answer
    x = 328,724.64

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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.