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Finding the Fourth Proportional to 338,307.17, 507,399.40 and 135,895.12

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Solution

The fourth proportional to 338,307.17, 507,399.40 and 135,895.12 is: 203,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,307.17 : 507,399.40 = 135,895.12 : x
  2. Step 2: Convert to fraction form
    338,307.17/507,399.40 = 135,895.12/x
  3. Step 3: Cross multiply
    338,307.17x = 507,399.40 × 135,895.12
  4. Step 4: Simplify right side
    338,307.17x = 68,953,100,742.69
  5. Step 5: Solve for x
    x = 68,953,100,742.69/338,307.17
  6. Step 6: Final answer
    x = 203,818.03

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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.