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Finding the Fourth Proportional to 402,275.84, 603,487.53 and 191,913.75

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Solution

The fourth proportional to 402,275.84, 603,487.53 and 191,913.75 is: 287,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,275.84 : 603,487.53 = 191,913.75 : x
  2. Step 2: Convert to fraction form
    402,275.84/603,487.53 = 191,913.75/x
  3. Step 3: Cross multiply
    402,275.84x = 603,487.53 × 191,913.75
  4. Step 4: Simplify right side
    402,275.84x = 115,817,554,960.54
  5. Step 5: Solve for x
    x = 115,817,554,960.54/402,275.84
  6. Step 6: Final answer
    x = 287,905.82

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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.