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Finding the Fourth Proportional to 666,759.76, 920,126.82 and 360,835

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Solution

The fourth proportional to 666,759.76, 920,126.82 and 360,835 is: 497,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,759.76 : 920,126.82 = 360,835 : x
  2. Step 2: Convert to fraction form
    666,759.76/920,126.82 = 360,835/x
  3. Step 3: Cross multiply
    666,759.76x = 920,126.82 × 360,835
  4. Step 4: Simplify right side
    666,759.76x = 332,013,961,094.70
  5. Step 5: Solve for x
    x = 332,013,961,094.70/666,759.76
  6. Step 6: Final answer
    x = 497,951.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.