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Finding the Fourth Proportional to 654,307.10, 902,881.59 and 382,438.70

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Solution

The fourth proportional to 654,307.10, 902,881.59 and 382,438.70 is: 527,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,307.10 : 902,881.59 = 382,438.70 : x
  2. Step 2: Convert to fraction form
    654,307.10/902,881.59 = 382,438.70/x
  3. Step 3: Cross multiply
    654,307.10x = 902,881.59 × 382,438.70
  4. Step 4: Simplify right side
    654,307.10x = 345,296,861,533.53
  5. Step 5: Solve for x
    x = 345,296,861,533.53/654,307.10
  6. Step 6: Final answer
    x = 527,729.05

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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.