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Finding the Fourth Proportional to 784,596, 1,177,068.96 and 285,960

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Solution

The fourth proportional to 784,596, 1,177,068.96 and 285,960 is: 429,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,596 : 1,177,068.96 = 285,960 : x
  2. Step 2: Convert to fraction form
    784,596/1,177,068.96 = 285,960/x
  3. Step 3: Cross multiply
    784,596x = 1,177,068.96 × 285,960
  4. Step 4: Simplify right side
    784,596x = 336,594,639,801.60
  5. Step 5: Solve for x
    x = 336,594,639,801.60/784,596
  6. Step 6: Final answer
    x = 429,003.77

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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.