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Finding the Fourth Proportional to 515,511.90, 711,387.74 and 286,079.21

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Solution

The fourth proportional to 515,511.90, 711,387.74 and 286,079.21 is: 394,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,511.90 : 711,387.74 = 286,079.21 : x
  2. Step 2: Convert to fraction form
    515,511.90/711,387.74 = 286,079.21/x
  3. Step 3: Cross multiply
    515,511.90x = 711,387.74 × 286,079.21
  4. Step 4: Simplify right side
    515,511.90x = 203,513,237,675.55
  5. Step 5: Solve for x
    x = 203,513,237,675.55/515,511.90
  6. Step 6: Final answer
    x = 394,778.93

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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.