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Finding the Fourth Proportional to 419,349.18, 578,726.19 and 315,798

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Solution

The fourth proportional to 419,349.18, 578,726.19 and 315,798 is: 435,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,349.18 : 578,726.19 = 315,798 : x
  2. Step 2: Convert to fraction form
    419,349.18/578,726.19 = 315,798/x
  3. Step 3: Cross multiply
    419,349.18x = 578,726.19 × 315,798
  4. Step 4: Simplify right side
    419,349.18x = 182,760,573,349.62
  5. Step 5: Solve for x
    x = 182,760,573,349.62/419,349.18
  6. Step 6: Final answer
    x = 435,819.56

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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.