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Finding the Fourth Proportional to 512,389.32, 767,555.82 and 470,535.54

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Solution

The fourth proportional to 512,389.32, 767,555.82 and 470,535.54 is: 704,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,389.32 : 767,555.82 = 470,535.54 : x
  2. Step 2: Convert to fraction form
    512,389.32/767,555.82 = 470,535.54/x
  3. Step 3: Cross multiply
    512,389.32x = 767,555.82 × 470,535.54
  4. Step 4: Simplify right side
    512,389.32x = 361,162,292,243.84
  5. Step 5: Solve for x
    x = 361,162,292,243.84/512,389.32
  6. Step 6: Final answer
    x = 704,859.13

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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.