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Finding the Fourth Proportional to 690,038, 1,035,057 and 191,402

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Solution

The fourth proportional to 690,038, 1,035,057 and 191,402 is: 287,103

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,038 : 1,035,057 = 191,402 : x
  2. Step 2: Convert to fraction form
    690,038/1,035,057 = 191,402/x
  3. Step 3: Cross multiply
    690,038x = 1,035,057 × 191,402
  4. Step 4: Simplify right side
    690,038x = 198,111,979,914
  5. Step 5: Solve for x
    x = 198,111,979,914/690,038
  6. Step 6: Final answer
    x = 287,103

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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.