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Finding the Fourth Proportional to 374,010, 561,031.49 and 137,223.51

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Solution

The fourth proportional to 374,010, 561,031.49 and 137,223.51 is: 205,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,010 : 561,031.49 = 137,223.51 : x
  2. Step 2: Convert to fraction form
    374,010/561,031.49 = 137,223.51/x
  3. Step 3: Cross multiply
    374,010x = 561,031.49 × 137,223.51
  4. Step 4: Simplify right side
    374,010x = 76,986,710,278.33
  5. Step 5: Solve for x
    x = 76,986,710,278.33/374,010
  6. Step 6: Final answer
    x = 205,841.32

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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.