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Finding the Fourth Proportional to 309,595.42, 464,391.10 and 84,938.28

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Solution

The fourth proportional to 309,595.42, 464,391.10 and 84,938.28 is: 127,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,595.42 : 464,391.10 = 84,938.28 : x
  2. Step 2: Convert to fraction form
    309,595.42/464,391.10 = 84,938.28/x
  3. Step 3: Cross multiply
    309,595.42x = 464,391.10 × 84,938.28
  4. Step 4: Simplify right side
    309,595.42x = 39,444,581,281.31
  5. Step 5: Solve for x
    x = 39,444,581,281.31/309,595.42
  6. Step 6: Final answer
    x = 127,406.86

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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.