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Finding the Fourth Proportional to 375,381.90, 563,108.61 and 105,509.34

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Solution

The fourth proportional to 375,381.90, 563,108.61 and 105,509.34 is: 158,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,381.90 : 563,108.61 = 105,509.34 : x
  2. Step 2: Convert to fraction form
    375,381.90/563,108.61 = 105,509.34/x
  3. Step 3: Cross multiply
    375,381.90x = 563,108.61 × 105,509.34
  4. Step 4: Simplify right side
    375,381.90x = 59,413,217,789.42
  5. Step 5: Solve for x
    x = 59,413,217,789.42/375,381.90
  6. Step 6: Final answer
    x = 158,274.06

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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.