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Finding the Fourth Proportional to 374,547.34, 561,876.95 and 137,872.02

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Solution

The fourth proportional to 374,547.34, 561,876.95 and 137,872.02 is: 206,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,547.34 : 561,876.95 = 137,872.02 : x
  2. Step 2: Convert to fraction form
    374,547.34/561,876.95 = 137,872.02/x
  3. Step 3: Cross multiply
    374,547.34x = 561,876.95 × 137,872.02
  4. Step 4: Simplify right side
    374,547.34x = 77,467,112,539.66
  5. Step 5: Solve for x
    x = 77,467,112,539.66/374,547.34
  6. Step 6: Final answer
    x = 206,828.63

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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.