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Finding the Fourth Proportional to 686,472.36, 947,708.94 and 469,008.01

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Solution

The fourth proportional to 686,472.36, 947,708.94 and 469,008.01 is: 647,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,472.36 : 947,708.94 = 469,008.01 : x
  2. Step 2: Convert to fraction form
    686,472.36/947,708.94 = 469,008.01/x
  3. Step 3: Cross multiply
    686,472.36x = 947,708.94 × 469,008.01
  4. Step 4: Simplify right side
    686,472.36x = 444,483,084,008.61
  5. Step 5: Solve for x
    x = 444,483,084,008.61/686,472.36
  6. Step 6: Final answer
    x = 647,488.68

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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.