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Finding the Fourth Proportional to 648,634.60, 972,491.10 and 293,818.60

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Solution

The fourth proportional to 648,634.60, 972,491.10 and 293,818.60 is: 440,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,634.60 : 972,491.10 = 293,818.60 : x
  2. Step 2: Convert to fraction form
    648,634.60/972,491.10 = 293,818.60/x
  3. Step 3: Cross multiply
    648,634.60x = 972,491.10 × 293,818.60
  4. Step 4: Simplify right side
    648,634.60x = 285,735,973,514.46
  5. Step 5: Solve for x
    x = 285,735,973,514.46/648,634.60
  6. Step 6: Final answer
    x = 440,519.17

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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.