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Finding the Fourth Proportional to 756,717, 1,044,276.54 and 417,197.40

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Solution

The fourth proportional to 756,717, 1,044,276.54 and 417,197.40 is: 575,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,717 : 1,044,276.54 = 417,197.40 : x
  2. Step 2: Convert to fraction form
    756,717/1,044,276.54 = 417,197.40/x
  3. Step 3: Cross multiply
    756,717x = 1,044,276.54 × 417,197.40
  4. Step 4: Simplify right side
    756,717x = 435,669,457,369.00
  5. Step 5: Solve for x
    x = 435,669,457,369.00/756,717
  6. Step 6: Final answer
    x = 575,736.32

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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.