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Finding the Fourth Proportional to 381,302.30, 525,978.55 and 237,813.23

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Solution

The fourth proportional to 381,302.30, 525,978.55 and 237,813.23 is: 328,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,302.30 : 525,978.55 = 237,813.23 : x
  2. Step 2: Convert to fraction form
    381,302.30/525,978.55 = 237,813.23/x
  3. Step 3: Cross multiply
    381,302.30x = 525,978.55 × 237,813.23
  4. Step 4: Simplify right side
    381,302.30x = 125,084,657,886.22
  5. Step 5: Solve for x
    x = 125,084,657,886.22/381,302.30
  6. Step 6: Final answer
    x = 328,045.90

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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.