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Finding the Fourth Proportional to 515,522.64, 711,425.67 and 286,095.42

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Solution

The fourth proportional to 515,522.64, 711,425.67 and 286,095.42 is: 394,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,522.64 : 711,425.67 = 286,095.42 : x
  2. Step 2: Convert to fraction form
    515,522.64/711,425.67 = 286,095.42/x
  3. Step 3: Cross multiply
    515,522.64x = 711,425.67 × 286,095.42
  4. Step 4: Simplify right side
    515,522.64x = 203,535,625,857.43
  5. Step 5: Solve for x
    x = 203,535,625,857.43/515,522.64
  6. Step 6: Final answer
    x = 394,814.14

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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.