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Finding the Fourth Proportional to 375,204.56, 562,674 and 138,483.68

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Solution

The fourth proportional to 375,204.56, 562,674 and 138,483.68 is: 207,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,204.56 : 562,674 = 138,483.68 : x
  2. Step 2: Convert to fraction form
    375,204.56/562,674 = 138,483.68/x
  3. Step 3: Cross multiply
    375,204.56x = 562,674 × 138,483.68
  4. Step 4: Simplify right side
    375,204.56x = 77,921,166,160.32
  5. Step 5: Solve for x
    x = 77,921,166,160.32/375,204.56
  6. Step 6: Final answer
    x = 207,676.49

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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.