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Finding the Fourth Proportional to 567,853.98, 783,647.90 and 309,731.01

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Solution

The fourth proportional to 567,853.98, 783,647.90 and 309,731.01 is: 427,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,853.98 : 783,647.90 = 309,731.01 : x
  2. Step 2: Convert to fraction form
    567,853.98/783,647.90 = 309,731.01/x
  3. Step 3: Cross multiply
    567,853.98x = 783,647.90 × 309,731.01
  4. Step 4: Simplify right side
    567,853.98x = 242,720,052,225.54
  5. Step 5: Solve for x
    x = 242,720,052,225.54/567,853.98
  6. Step 6: Final answer
    x = 427,433.92

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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.