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Finding the Fourth Proportional to 501,366.64, 691,884.12 and 310,342

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Solution

The fourth proportional to 501,366.64, 691,884.12 and 310,342 is: 428,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,366.64 : 691,884.12 = 310,342 : x
  2. Step 2: Convert to fraction form
    501,366.64/691,884.12 = 310,342/x
  3. Step 3: Cross multiply
    501,366.64x = 691,884.12 × 310,342
  4. Step 4: Simplify right side
    501,366.64x = 214,720,701,569.04
  5. Step 5: Solve for x
    x = 214,720,701,569.04/501,366.64
  6. Step 6: Final answer
    x = 428,270.82

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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.