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Finding the Fourth Proportional to 419,324, 578,680.08 and 240,476

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Solution

The fourth proportional to 419,324, 578,680.08 and 240,476 is: 331,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,324 : 578,680.08 = 240,476 : x
  2. Step 2: Convert to fraction form
    419,324/578,680.08 = 240,476/x
  3. Step 3: Cross multiply
    419,324x = 578,680.08 × 240,476
  4. Step 4: Simplify right side
    419,324x = 139,158,670,918.08
  5. Step 5: Solve for x
    x = 139,158,670,918.08/419,324
  6. Step 6: Final answer
    x = 331,864.31

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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.