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Finding the Fourth Proportional to 567,488.13, 783,138.84 and 312,848.43

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Solution

The fourth proportional to 567,488.13, 783,138.84 and 312,848.43 is: 431,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,488.13 : 783,138.84 = 312,848.43 : x
  2. Step 2: Convert to fraction form
    567,488.13/783,138.84 = 312,848.43/x
  3. Step 3: Cross multiply
    567,488.13x = 783,138.84 × 312,848.43
  4. Step 4: Simplify right side
    567,488.13x = 245,003,756,566.02
  5. Step 5: Solve for x
    x = 245,003,756,566.02/567,488.13
  6. Step 6: Final answer
    x = 431,733.71

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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.