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Finding the Fourth Proportional to 835,785, 1,153,383.30 and 478,089

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Solution

The fourth proportional to 835,785, 1,153,383.30 and 478,089 is: 659,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,785 : 1,153,383.30 = 478,089 : x
  2. Step 2: Convert to fraction form
    835,785/1,153,383.30 = 478,089/x
  3. Step 3: Cross multiply
    835,785x = 1,153,383.30 × 478,089
  4. Step 4: Simplify right side
    835,785x = 551,419,868,513.70
  5. Step 5: Solve for x
    x = 551,419,868,513.70/835,785
  6. Step 6: Final answer
    x = 659,762.82

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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.