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Finding the Fourth Proportional to 777,417.74, 1,072,469.94 and 454,930.02

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Solution

The fourth proportional to 777,417.74, 1,072,469.94 and 454,930.02 is: 627,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,417.74 : 1,072,469.94 = 454,930.02 : x
  2. Step 2: Convert to fraction form
    777,417.74/1,072,469.94 = 454,930.02/x
  3. Step 3: Cross multiply
    777,417.74x = 1,072,469.94 × 454,930.02
  4. Step 4: Simplify right side
    777,417.74x = 487,898,771,253.60
  5. Step 5: Solve for x
    x = 487,898,771,253.60/777,417.74
  6. Step 6: Final answer
    x = 627,588.93

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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.