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Finding the Fourth Proportional to 419,390.28, 578,782.80 and 315,839.07

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Solution

The fourth proportional to 419,390.28, 578,782.80 and 315,839.07 is: 435,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,390.28 : 578,782.80 = 315,839.07 : x
  2. Step 2: Convert to fraction form
    419,390.28/578,782.80 = 315,839.07/x
  3. Step 3: Cross multiply
    419,390.28x = 578,782.80 × 315,839.07
  4. Step 4: Simplify right side
    419,390.28x = 182,802,221,284.00
  5. Step 5: Solve for x
    x = 182,802,221,284.00/419,390.28
  6. Step 6: Final answer
    x = 435,876.15

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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.