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Finding the Fourth Proportional to 676,468.84, 933,533.86 and 408,145

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Solution

The fourth proportional to 676,468.84, 933,533.86 and 408,145 is: 563,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,468.84 : 933,533.86 = 408,145 : x
  2. Step 2: Convert to fraction form
    676,468.84/933,533.86 = 408,145/x
  3. Step 3: Cross multiply
    676,468.84x = 933,533.86 × 408,145
  4. Step 4: Simplify right side
    676,468.84x = 381,017,177,289.70
  5. Step 5: Solve for x
    x = 381,017,177,289.70/676,468.84
  6. Step 6: Final answer
    x = 563,244.24

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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.