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Finding the Fourth Proportional to 564,172.24, 778,558.08 and 309,537.40

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Solution

The fourth proportional to 564,172.24, 778,558.08 and 309,537.40 is: 427,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,172.24 : 778,558.08 = 309,537.40 : x
  2. Step 2: Convert to fraction form
    564,172.24/778,558.08 = 309,537.40/x
  3. Step 3: Cross multiply
    564,172.24x = 778,558.08 × 309,537.40
  4. Step 4: Simplify right side
    564,172.24x = 240,992,843,832.19
  5. Step 5: Solve for x
    x = 240,992,843,832.19/564,172.24
  6. Step 6: Final answer
    x = 427,161.83

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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.