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Finding the Fourth Proportional to 419,382.60, 578,728.20 and 238,070.58

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Solution

The fourth proportional to 419,382.60, 578,728.20 and 238,070.58 is: 328,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,382.60 : 578,728.20 = 238,070.58 : x
  2. Step 2: Convert to fraction form
    419,382.60/578,728.20 = 238,070.58/x
  3. Step 3: Cross multiply
    419,382.60x = 578,728.20 × 238,070.58
  4. Step 4: Simplify right side
    419,382.60x = 137,778,158,236.36
  5. Step 5: Solve for x
    x = 137,778,158,236.36/419,382.60
  6. Step 6: Final answer
    x = 328,526.17

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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.