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Finding the Fourth Proportional to 933,419, 1,400,128.50 and 268,571

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Solution

The fourth proportional to 933,419, 1,400,128.50 and 268,571 is: 402,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,419 : 1,400,128.50 = 268,571 : x
  2. Step 2: Convert to fraction form
    933,419/1,400,128.50 = 268,571/x
  3. Step 3: Cross multiply
    933,419x = 1,400,128.50 × 268,571
  4. Step 4: Simplify right side
    933,419x = 376,033,911,373.50
  5. Step 5: Solve for x
    x = 376,033,911,373.50/933,419
  6. Step 6: Final answer
    x = 402,856.50

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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.