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Finding the Fourth Proportional to 487,112.64, 671,778.64 and 405,711.12

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Solution

The fourth proportional to 487,112.64, 671,778.64 and 405,711.12 is: 559,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,112.64 : 671,778.64 = 405,711.12 : x
  2. Step 2: Convert to fraction form
    487,112.64/671,778.64 = 405,711.12/x
  3. Step 3: Cross multiply
    487,112.64x = 671,778.64 × 405,711.12
  4. Step 4: Simplify right side
    487,112.64x = 272,548,064,426.48
  5. Step 5: Solve for x
    x = 272,548,064,426.48/487,112.64
  6. Step 6: Final answer
    x = 559,517.54

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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.