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Finding the Fourth Proportional to 680,643, 939,287.34 and 378,830.52

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Solution

The fourth proportional to 680,643, 939,287.34 and 378,830.52 is: 522,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,643 : 939,287.34 = 378,830.52 : x
  2. Step 2: Convert to fraction form
    680,643/939,287.34 = 378,830.52/x
  3. Step 3: Cross multiply
    680,643x = 939,287.34 × 378,830.52
  4. Step 4: Simplify right side
    680,643x = 355,830,711,441.62
  5. Step 5: Solve for x
    x = 355,830,711,441.62/680,643
  6. Step 6: Final answer
    x = 522,786.12

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1.5x scale

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.