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Finding the Fourth Proportional to 567,509.68, 783,169.42 and 312,869.98

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Solution

The fourth proportional to 567,509.68, 783,169.42 and 312,869.98 is: 431,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,509.68 : 783,169.42 = 312,869.98 : x
  2. Step 2: Convert to fraction form
    567,509.68/783,169.42 = 312,869.98/x
  3. Step 3: Cross multiply
    567,509.68x = 783,169.42 × 312,869.98
  4. Step 4: Simplify right side
    567,509.68x = 245,030,198,031.91
  5. Step 5: Solve for x
    x = 245,030,198,031.91/567,509.68
  6. Step 6: Final answer
    x = 431,763.91

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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.