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Finding the Fourth Proportional to 564,352.66, 778,816.17 and 309,727.54

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Solution

The fourth proportional to 564,352.66, 778,816.17 and 309,727.54 is: 427,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,352.66 : 778,816.17 = 309,727.54 : x
  2. Step 2: Convert to fraction form
    564,352.66/778,816.17 = 309,727.54/x
  3. Step 3: Cross multiply
    564,352.66x = 778,816.17 × 309,727.54
  4. Step 4: Simplify right side
    564,352.66x = 241,220,816,446.32
  5. Step 5: Solve for x
    x = 241,220,816,446.32/564,352.66
  6. Step 6: Final answer
    x = 427,429.22

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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.