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Finding the Fourth Proportional to 419,365.52, 578,713.80 and 240,506

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Solution

The fourth proportional to 419,365.52, 578,713.80 and 240,506 is: 331,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,365.52 : 578,713.80 = 240,506 : x
  2. Step 2: Convert to fraction form
    419,365.52/578,713.80 = 240,506/x
  3. Step 3: Cross multiply
    419,365.52x = 578,713.80 × 240,506
  4. Step 4: Simplify right side
    419,365.52x = 139,184,141,182.80
  5. Step 5: Solve for x
    x = 139,184,141,182.80/419,365.52
  6. Step 6: Final answer
    x = 331,892.19

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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.