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Finding the Fourth Proportional to 419,501.84, 578,892.62 and 238,190.02

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Solution

The fourth proportional to 419,501.84, 578,892.62 and 238,190.02 is: 328,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,501.84 : 578,892.62 = 238,190.02 : x
  2. Step 2: Convert to fraction form
    419,501.84/578,892.62 = 238,190.02/x
  3. Step 3: Cross multiply
    419,501.84x = 578,892.62 × 238,190.02
  4. Step 4: Simplify right side
    419,501.84x = 137,886,443,883.90
  5. Step 5: Solve for x
    x = 137,886,443,883.90/419,501.84
  6. Step 6: Final answer
    x = 328,690.92

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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.