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Finding the Fourth Proportional to 346,207, 477,767.10 and 187,231

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Solution

The fourth proportional to 346,207, 477,767.10 and 187,231 is: 258,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,207 : 477,767.10 = 187,231 : x
  2. Step 2: Convert to fraction form
    346,207/477,767.10 = 187,231/x
  3. Step 3: Cross multiply
    346,207x = 477,767.10 × 187,231
  4. Step 4: Simplify right side
    346,207x = 89,452,811,900.10
  5. Step 5: Solve for x
    x = 89,452,811,900.10/346,207
  6. Step 6: Final answer
    x = 258,379.56

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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.