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Finding the Fourth Proportional to 645,080.64, 890,133.75 and 354,644.42

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Solution

The fourth proportional to 645,080.64, 890,133.75 and 354,644.42 is: 489,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,080.64 : 890,133.75 = 354,644.42 : x
  2. Step 2: Convert to fraction form
    645,080.64/890,133.75 = 354,644.42/x
  3. Step 3: Cross multiply
    645,080.64x = 890,133.75 × 354,644.42
  4. Step 4: Simplify right side
    645,080.64x = 315,680,963,040.51
  5. Step 5: Solve for x
    x = 315,680,963,040.51/645,080.64
  6. Step 6: Final answer
    x = 489,366.67

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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.