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Finding the Fourth Proportional to 561,014.41, 774,095.66 and 319,282.60

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Solution

The fourth proportional to 561,014.41, 774,095.66 and 319,282.60 is: 440,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,014.41 : 774,095.66 = 319,282.60 : x
  2. Step 2: Convert to fraction form
    561,014.41/774,095.66 = 319,282.60/x
  3. Step 3: Cross multiply
    561,014.41x = 774,095.66 × 319,282.60
  4. Step 4: Simplify right side
    561,014.41x = 247,155,273,377.10
  5. Step 5: Solve for x
    x = 247,155,273,377.10/561,014.41
  6. Step 6: Final answer
    x = 440,550.67

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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.