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Finding the Fourth Proportional to 397,210.80, 595,657.80 and 130,897.20

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Solution

The fourth proportional to 397,210.80, 595,657.80 and 130,897.20 is: 196,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,210.80 : 595,657.80 = 130,897.20 : x
  2. Step 2: Convert to fraction form
    397,210.80/595,657.80 = 130,897.20/x
  3. Step 3: Cross multiply
    397,210.80x = 595,657.80 × 130,897.20
  4. Step 4: Simplify right side
    397,210.80x = 77,969,938,178.16
  5. Step 5: Solve for x
    x = 77,969,938,178.16/397,210.80
  6. Step 6: Final answer
    x = 196,293.60

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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.