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Finding the Fourth Proportional to 559,161.84, 838,742.77 and 138,437.72

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Solution

The fourth proportional to 559,161.84, 838,742.77 and 138,437.72 is: 207,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,161.84 : 838,742.77 = 138,437.72 : x
  2. Step 2: Convert to fraction form
    559,161.84/838,742.77 = 138,437.72/x
  3. Step 3: Cross multiply
    559,161.84x = 838,742.77 × 138,437.72
  4. Step 4: Simplify right side
    559,161.84x = 116,113,635,869.90
  5. Step 5: Solve for x
    x = 116,113,635,869.90/559,161.84
  6. Step 6: Final answer
    x = 207,656.58

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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.