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Finding the Fourth Proportional to 500,666.29, 750,911.85 and 140,751.58

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Solution

The fourth proportional to 500,666.29, 750,911.85 and 140,751.58 is: 211,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,666.29 : 750,911.85 = 140,751.58 : x
  2. Step 2: Convert to fraction form
    500,666.29/750,911.85 = 140,751.58/x
  3. Step 3: Cross multiply
    500,666.29x = 750,911.85 × 140,751.58
  4. Step 4: Simplify right side
    500,666.29x = 105,692,025,573.66
  5. Step 5: Solve for x
    x = 105,692,025,573.66/500,666.29
  6. Step 6: Final answer
    x = 211,102.74

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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.