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Finding the Fourth Proportional to 400,807.84, 553,214.64 and 231,144.16

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Solution

The fourth proportional to 400,807.84, 553,214.64 and 231,144.16 is: 319,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,807.84 : 553,214.64 = 231,144.16 : x
  2. Step 2: Convert to fraction form
    400,807.84/553,214.64 = 231,144.16/x
  3. Step 3: Cross multiply
    400,807.84x = 553,214.64 × 231,144.16
  4. Step 4: Simplify right side
    400,807.84x = 127,872,333,262.50
  5. Step 5: Solve for x
    x = 127,872,333,262.50/400,807.84
  6. Step 6: Final answer
    x = 319,036.51

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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.