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Finding the Fourth Proportional to 553,669.48, 763,267.62 and 394,417

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Solution

The fourth proportional to 553,669.48, 763,267.62 and 394,417 is: 543,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,669.48 : 763,267.62 = 394,417 : x
  2. Step 2: Convert to fraction form
    553,669.48/763,267.62 = 394,417/x
  3. Step 3: Cross multiply
    553,669.48x = 763,267.62 × 394,417
  4. Step 4: Simplify right side
    553,669.48x = 301,045,724,877.54
  5. Step 5: Solve for x
    x = 301,045,724,877.54/553,669.48
  6. Step 6: Final answer
    x = 543,728.23

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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.