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Finding the Fourth Proportional to 513,819.30, 720,528 and 513,819.30

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Solution

The fourth proportional to 513,819.30, 720,528 and 513,819.30 is: 720,528

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,819.30 : 720,528 = 513,819.30 : x
  2. Step 2: Convert to fraction form
    513,819.30/720,528 = 513,819.30/x
  3. Step 3: Cross multiply
    513,819.30x = 720,528 × 513,819.30
  4. Step 4: Simplify right side
    513,819.30x = 370,221,192,590.40
  5. Step 5: Solve for x
    x = 370,221,192,590.40/513,819.30
  6. Step 6: Final answer
    x = 720,528

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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.