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Finding the Fourth Proportional to 419,277.09, 578,776.26 and 317,331

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Solution

The fourth proportional to 419,277.09, 578,776.26 and 317,331 is: 438,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,277.09 : 578,776.26 = 317,331 : x
  2. Step 2: Convert to fraction form
    419,277.09/578,776.26 = 317,331/x
  3. Step 3: Cross multiply
    419,277.09x = 578,776.26 × 317,331
  4. Step 4: Simplify right side
    419,277.09x = 183,663,649,362.06
  5. Step 5: Solve for x
    x = 183,663,649,362.06/419,277.09
  6. Step 6: Final answer
    x = 438,048.38

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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.