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Finding the Fourth Proportional to 345,440, 517,937.34 and 145,706.96

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Solution

The fourth proportional to 345,440, 517,937.34 and 145,706.96 is: 218,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,440 : 517,937.34 = 145,706.96 : x
  2. Step 2: Convert to fraction form
    345,440/517,937.34 = 145,706.96/x
  3. Step 3: Cross multiply
    345,440x = 517,937.34 × 145,706.96
  4. Step 4: Simplify right side
    345,440x = 75,467,075,281.89
  5. Step 5: Solve for x
    x = 75,467,075,281.89/345,440
  6. Step 6: Final answer
    x = 218,466.52

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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.