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Finding the Fourth Proportional to 515,144.81, 710,899.84 and 288,790.31

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Solution

The fourth proportional to 515,144.81, 710,899.84 and 288,790.31 is: 398,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,144.81 : 710,899.84 = 288,790.31 : x
  2. Step 2: Convert to fraction form
    515,144.81/710,899.84 = 288,790.31/x
  3. Step 3: Cross multiply
    515,144.81x = 710,899.84 × 288,790.31
  4. Step 4: Simplify right side
    515,144.81x = 205,300,987,310.79
  5. Step 5: Solve for x
    x = 205,300,987,310.79/515,144.81
  6. Step 6: Final answer
    x = 398,530.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.