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Finding the Fourth Proportional to 690,069.86, 952,286.13 and 384,145.68

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Solution

The fourth proportional to 690,069.86, 952,286.13 and 384,145.68 is: 530,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,069.86 : 952,286.13 = 384,145.68 : x
  2. Step 2: Convert to fraction form
    690,069.86/952,286.13 = 384,145.68/x
  3. Step 3: Cross multiply
    690,069.86x = 952,286.13 × 384,145.68
  4. Step 4: Simplify right side
    690,069.86x = 365,816,602,963.42
  5. Step 5: Solve for x
    x = 365,816,602,963.42/690,069.86
  6. Step 6: Final answer
    x = 530,115.32

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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.