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Finding the Fourth Proportional to 397,070.72, 595,693.92 and 130,820.48

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Solution

The fourth proportional to 397,070.72, 595,693.92 and 130,820.48 is: 196,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,070.72 : 595,693.92 = 130,820.48 : x
  2. Step 2: Convert to fraction form
    397,070.72/595,693.92 = 130,820.48/x
  3. Step 3: Cross multiply
    397,070.72x = 595,693.92 × 130,820.48
  4. Step 4: Simplify right side
    397,070.72x = 77,928,964,547.48
  5. Step 5: Solve for x
    x = 77,928,964,547.48/397,070.72
  6. Step 6: Final answer
    x = 196,259.66

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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.