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Finding the Fourth Proportional to 890,148, 1,335,432 and 291,106.80

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Solution

The fourth proportional to 890,148, 1,335,432 and 291,106.80 is: 436,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,148 : 1,335,432 = 291,106.80 : x
  2. Step 2: Convert to fraction form
    890,148/1,335,432 = 291,106.80/x
  3. Step 3: Cross multiply
    890,148x = 1,335,432 × 291,106.80
  4. Step 4: Simplify right side
    890,148x = 388,753,336,137.60
  5. Step 5: Solve for x
    x = 388,753,336,137.60/890,148
  6. Step 6: Final answer
    x = 436,728.88

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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.