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Finding the Fourth Proportional to 525,859.18, 725,834.32 and 311,073.91

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Solution

The fourth proportional to 525,859.18, 725,834.32 and 311,073.91 is: 429,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,859.18 : 725,834.32 = 311,073.91 : x
  2. Step 2: Convert to fraction form
    525,859.18/725,834.32 = 311,073.91/x
  3. Step 3: Cross multiply
    525,859.18x = 725,834.32 × 311,073.91
  4. Step 4: Simplify right side
    525,859.18x = 225,788,117,342.32
  5. Step 5: Solve for x
    x = 225,788,117,342.32/525,859.18
  6. Step 6: Final answer
    x = 429,369.93

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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.