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Finding the Fourth Proportional to 319,405.20, 478,111.10 and 235,260.38

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Solution

The fourth proportional to 319,405.20, 478,111.10 and 235,260.38 is: 352,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,405.20 : 478,111.10 = 235,260.38 : x
  2. Step 2: Convert to fraction form
    319,405.20/478,111.10 = 235,260.38/x
  3. Step 3: Cross multiply
    319,405.20x = 478,111.10 × 235,260.38
  4. Step 4: Simplify right side
    319,405.20x = 112,480,595,501.36
  5. Step 5: Solve for x
    x = 112,480,595,501.36/319,405.20
  6. Step 6: Final answer
    x = 352,156.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.