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Finding the Fourth Proportional to 567,493.20, 783,145.86 and 312,853.50

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Solution

The fourth proportional to 567,493.20, 783,145.86 and 312,853.50 is: 431,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,493.20 : 783,145.86 = 312,853.50 : x
  2. Step 2: Convert to fraction form
    567,493.20/783,145.86 = 312,853.50/x
  3. Step 3: Cross multiply
    567,493.20x = 783,145.86 × 312,853.50
  4. Step 4: Simplify right side
    567,493.20x = 245,009,923,311.51
  5. Step 5: Solve for x
    x = 245,009,923,311.51/567,493.20
  6. Step 6: Final answer
    x = 431,740.72

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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.