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Finding the Fourth Proportional to 502,971.36, 753,988.32 and 345,274.08

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Solution

The fourth proportional to 502,971.36, 753,988.32 and 345,274.08 is: 517,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,971.36 : 753,988.32 = 345,274.08 : x
  2. Step 2: Convert to fraction form
    502,971.36/753,988.32 = 345,274.08/x
  3. Step 3: Cross multiply
    502,971.36x = 753,988.32 × 345,274.08
  4. Step 4: Simplify right side
    502,971.36x = 260,332,623,518.75
  5. Step 5: Solve for x
    x = 260,332,623,518.75/502,971.36
  6. Step 6: Final answer
    x = 517,589.36

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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.