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Finding the Fourth Proportional to 567,447.66, 783,077.61 and 312,803.10

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Solution

The fourth proportional to 567,447.66, 783,077.61 and 312,803.10 is: 431,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,447.66 : 783,077.61 = 312,803.10 : x
  2. Step 2: Convert to fraction form
    567,447.66/783,077.61 = 312,803.10/x
  3. Step 3: Cross multiply
    567,447.66x = 783,077.61 × 312,803.10
  4. Step 4: Simplify right side
    567,447.66x = 244,949,103,948.59
  5. Step 5: Solve for x
    x = 244,949,103,948.59/567,447.66
  6. Step 6: Final answer
    x = 431,668.19

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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.