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Finding the Fourth Proportional to 564,012.49, 778,374.26 and 309,363.68

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Solution

The fourth proportional to 564,012.49, 778,374.26 and 309,363.68 is: 426,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,012.49 : 778,374.26 = 309,363.68 : x
  2. Step 2: Convert to fraction form
    564,012.49/778,374.26 = 309,363.68/x
  3. Step 3: Cross multiply
    564,012.49x = 778,374.26 × 309,363.68
  4. Step 4: Simplify right side
    564,012.49x = 240,800,724,860.93
  5. Step 5: Solve for x
    x = 240,800,724,860.93/564,012.49
  6. Step 6: Final answer
    x = 426,942.18

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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.