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Finding the Fourth Proportional to 417,178.18, 624,746.66 and 376,743

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Solution

The fourth proportional to 417,178.18, 624,746.66 and 376,743 is: 564,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,178.18 : 624,746.66 = 376,743 : x
  2. Step 2: Convert to fraction form
    417,178.18/624,746.66 = 376,743/x
  3. Step 3: Cross multiply
    417,178.18x = 624,746.66 × 376,743
  4. Step 4: Simplify right side
    417,178.18x = 235,368,930,104.26
  5. Step 5: Solve for x
    x = 235,368,930,104.26/417,178.18
  6. Step 6: Final answer
    x = 564,192.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.