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Finding the Fourth Proportional to 309,386.88, 464,138.40 and 98,968.32

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Solution

The fourth proportional to 309,386.88, 464,138.40 and 98,968.32 is: 148,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,386.88 : 464,138.40 = 98,968.32 : x
  2. Step 2: Convert to fraction form
    309,386.88/464,138.40 = 98,968.32/x
  3. Step 3: Cross multiply
    309,386.88x = 464,138.40 × 98,968.32
  4. Step 4: Simplify right side
    309,386.88x = 45,934,997,695.49
  5. Step 5: Solve for x
    x = 45,934,997,695.49/309,386.88
  6. Step 6: Final answer
    x = 148,471.06

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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.