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Finding the Fourth Proportional to 340,715.80, 511,073.70 and 307,538.20

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Solution

The fourth proportional to 340,715.80, 511,073.70 and 307,538.20 is: 461,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,715.80 : 511,073.70 = 307,538.20 : x
  2. Step 2: Convert to fraction form
    340,715.80/511,073.70 = 307,538.20/x
  3. Step 3: Cross multiply
    340,715.80x = 511,073.70 × 307,538.20
  4. Step 4: Simplify right side
    340,715.80x = 157,174,685,765.34
  5. Step 5: Solve for x
    x = 157,174,685,765.34/340,715.80
  6. Step 6: Final answer
    x = 461,307.30

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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.