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Finding the Fourth Proportional to 553,668.48, 763,266.24 and 394,416

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Solution

The fourth proportional to 553,668.48, 763,266.24 and 394,416 is: 543,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,668.48 : 763,266.24 = 394,416 : x
  2. Step 2: Convert to fraction form
    553,668.48/763,266.24 = 394,416/x
  3. Step 3: Cross multiply
    553,668.48x = 763,266.24 × 394,416
  4. Step 4: Simplify right side
    553,668.48x = 301,044,417,315.84
  5. Step 5: Solve for x
    x = 301,044,417,315.84/553,668.48
  6. Step 6: Final answer
    x = 543,726.85

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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.