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Finding the Fourth Proportional to 802,902.50, 1,204,820.31 and 359,670.50

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Solution

The fourth proportional to 802,902.50, 1,204,820.31 and 359,670.50 is: 539,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,902.50 : 1,204,820.31 = 359,670.50 : x
  2. Step 2: Convert to fraction form
    802,902.50/1,204,820.31 = 359,670.50/x
  3. Step 3: Cross multiply
    802,902.50x = 1,204,820.31 × 359,670.50
  4. Step 4: Simplify right side
    802,902.50x = 433,338,323,307.86
  5. Step 5: Solve for x
    x = 433,338,323,307.86/802,902.50
  6. Step 6: Final answer
    x = 539,714.75

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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.