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Finding the Fourth Proportional to 690,000, 1,035,000 and 191,364

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Solution

The fourth proportional to 690,000, 1,035,000 and 191,364 is: 287,046

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,000 : 1,035,000 = 191,364 : x
  2. Step 2: Convert to fraction form
    690,000/1,035,000 = 191,364/x
  3. Step 3: Cross multiply
    690,000x = 1,035,000 × 191,364
  4. Step 4: Simplify right side
    690,000x = 198,061,740,000
  5. Step 5: Solve for x
    x = 198,061,740,000/690,000
  6. Step 6: Final answer
    x = 287,046

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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.