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Finding the Fourth Proportional to 393,077.80, 589,616.70 and 260,108.20

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Solution

The fourth proportional to 393,077.80, 589,616.70 and 260,108.20 is: 390,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,077.80 : 589,616.70 = 260,108.20 : x
  2. Step 2: Convert to fraction form
    393,077.80/589,616.70 = 260,108.20/x
  3. Step 3: Cross multiply
    393,077.80x = 589,616.70 × 260,108.20
  4. Step 4: Simplify right side
    393,077.80x = 153,364,138,526.94
  5. Step 5: Solve for x
    x = 153,364,138,526.94/393,077.80
  6. Step 6: Final answer
    x = 390,162.30

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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.