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Finding the Fourth Proportional to 309,688.06, 464,531.10 and 85,048.72

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Solution

The fourth proportional to 309,688.06, 464,531.10 and 85,048.72 is: 127,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,688.06 : 464,531.10 = 85,048.72 : x
  2. Step 2: Convert to fraction form
    309,688.06/464,531.10 = 85,048.72/x
  3. Step 3: Cross multiply
    309,688.06x = 464,531.10 × 85,048.72
  4. Step 4: Simplify right side
    309,688.06x = 39,507,775,455.19
  5. Step 5: Solve for x
    x = 39,507,775,455.19/309,688.06
  6. Step 6: Final answer
    x = 127,572.81

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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.