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Finding the Fourth Proportional to 513,793.80, 720,492.30 and 513,793.80

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Solution

The fourth proportional to 513,793.80, 720,492.30 and 513,793.80 is: 720,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,793.80 : 720,492.30 = 513,793.80 : x
  2. Step 2: Convert to fraction form
    513,793.80/720,492.30 = 513,793.80/x
  3. Step 3: Cross multiply
    513,793.80x = 720,492.30 × 513,793.80
  4. Step 4: Simplify right side
    513,793.80x = 370,184,476,687.74
  5. Step 5: Solve for x
    x = 370,184,476,687.74/513,793.80
  6. Step 6: Final answer
    x = 720,492.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.