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Finding the Fourth Proportional to 510,555.79, 765,734.86 and 194,937.67

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Solution

The fourth proportional to 510,555.79, 765,734.86 and 194,937.67 is: 292,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,555.79 : 765,734.86 = 194,937.67 : x
  2. Step 2: Convert to fraction form
    510,555.79/765,734.86 = 194,937.67/x
  3. Step 3: Cross multiply
    510,555.79x = 765,734.86 × 194,937.67
  4. Step 4: Simplify right side
    510,555.79x = 149,270,569,446.18
  5. Step 5: Solve for x
    x = 149,270,569,446.18/510,555.79
  6. Step 6: Final answer
    x = 292,368.77

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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.