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Finding the Fourth Proportional to 510,570.86, 766,329.10 and 258,029.06

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Solution

The fourth proportional to 510,570.86, 766,329.10 and 258,029.06 is: 387,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,570.86 : 766,329.10 = 258,029.06 : x
  2. Step 2: Convert to fraction form
    510,570.86/766,329.10 = 258,029.06/x
  3. Step 3: Cross multiply
    510,570.86x = 766,329.10 × 258,029.06
  4. Step 4: Simplify right side
    510,570.86x = 197,735,177,323.65
  5. Step 5: Solve for x
    x = 197,735,177,323.65/510,570.86
  6. Step 6: Final answer
    x = 387,282.54

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1.5x scale

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.