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Finding the Fourth Proportional to 345,897.60, 519,065.10 and 203,742.60

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Solution

The fourth proportional to 345,897.60, 519,065.10 and 203,742.60 is: 305,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,897.60 : 519,065.10 = 203,742.60 : x
  2. Step 2: Convert to fraction form
    345,897.60/519,065.10 = 203,742.60/x
  3. Step 3: Cross multiply
    345,897.60x = 519,065.10 × 203,742.60
  4. Step 4: Simplify right side
    345,897.60x = 105,755,673,043.26
  5. Step 5: Solve for x
    x = 105,755,673,043.26/345,897.60
  6. Step 6: Final answer
    x = 305,742.72

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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.