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Finding the Fourth Proportional to 375,523.84, 563,224.32 and 138,978.56

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Solution

The fourth proportional to 375,523.84, 563,224.32 and 138,978.56 is: 208,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,523.84 : 563,224.32 = 138,978.56 : x
  2. Step 2: Convert to fraction form
    375,523.84/563,224.32 = 138,978.56/x
  3. Step 3: Cross multiply
    375,523.84x = 563,224.32 × 138,978.56
  4. Step 4: Simplify right side
    375,523.84x = 78,276,104,950.58
  5. Step 5: Solve for x
    x = 78,276,104,950.58/375,523.84
  6. Step 6: Final answer
    x = 208,445.10

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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.