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Finding the Fourth Proportional to 653,538.30, 980,473.76 and 383,894.46

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Solution

The fourth proportional to 653,538.30, 980,473.76 and 383,894.46 is: 575,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,538.30 : 980,473.76 = 383,894.46 : x
  2. Step 2: Convert to fraction form
    653,538.30/980,473.76 = 383,894.46/x
  3. Step 3: Cross multiply
    653,538.30x = 980,473.76 × 383,894.46
  4. Step 4: Simplify right side
    653,538.30x = 376,398,445,599.11
  5. Step 5: Solve for x
    x = 376,398,445,599.11/653,538.30
  6. Step 6: Final answer
    x = 575,939.38

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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.