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Finding the Fourth Proportional to 654,763.50, 903,437.55 and 382,778.06

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Solution

The fourth proportional to 654,763.50, 903,437.55 and 382,778.06 is: 528,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,763.50 : 903,437.55 = 382,778.06 : x
  2. Step 2: Convert to fraction form
    654,763.50/903,437.55 = 382,778.06/x
  3. Step 3: Cross multiply
    654,763.50x = 903,437.55 × 382,778.06
  4. Step 4: Simplify right side
    654,763.50x = 345,816,068,202.97
  5. Step 5: Solve for x
    x = 345,816,068,202.97/654,763.50
  6. Step 6: Final answer
    x = 528,154.16

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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.