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Finding the Fourth Proportional to 653,121.86, 980,055.89 and 253,710.65

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Solution

The fourth proportional to 653,121.86, 980,055.89 and 253,710.65 is: 380,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,121.86 : 980,055.89 = 253,710.65 : x
  2. Step 2: Convert to fraction form
    653,121.86/980,055.89 = 253,710.65/x
  3. Step 3: Cross multiply
    653,121.86x = 980,055.89 × 253,710.65
  4. Step 4: Simplify right side
    653,121.86x = 248,650,610,719.40
  5. Step 5: Solve for x
    x = 248,650,610,719.40/653,121.86
  6. Step 6: Final answer
    x = 380,710.90

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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.