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Finding the Fourth Proportional to 645,349.74, 968,002.74 and 245,976

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Solution

The fourth proportional to 645,349.74, 968,002.74 and 245,976 is: 368,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,349.74 : 968,002.74 = 245,976 : x
  2. Step 2: Convert to fraction form
    645,349.74/968,002.74 = 245,976/x
  3. Step 3: Cross multiply
    645,349.74x = 968,002.74 × 245,976
  4. Step 4: Simplify right side
    645,349.74x = 238,105,441,974.24
  5. Step 5: Solve for x
    x = 238,105,441,974.24/645,349.74
  6. Step 6: Final answer
    x = 368,955.66

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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.