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Finding the Fourth Proportional to 835,834, 1,153,450.98 and 478,138

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Solution

The fourth proportional to 835,834, 1,153,450.98 and 478,138 is: 659,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,834 : 1,153,450.98 = 478,138 : x
  2. Step 2: Convert to fraction form
    835,834/1,153,450.98 = 478,138/x
  3. Step 3: Cross multiply
    835,834x = 1,153,450.98 × 478,138
  4. Step 4: Simplify right side
    835,834x = 551,508,744,675.24
  5. Step 5: Solve for x
    x = 551,508,744,675.24/835,834
  6. Step 6: Final answer
    x = 659,830.47

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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.