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Finding the Fourth Proportional to 561,314.20, 774,508.08 and 319,582.12

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Solution

The fourth proportional to 561,314.20, 774,508.08 and 319,582.12 is: 440,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,314.20 : 774,508.08 = 319,582.12 : x
  2. Step 2: Convert to fraction form
    561,314.20/774,508.08 = 319,582.12/x
  3. Step 3: Cross multiply
    561,314.20x = 774,508.08 × 319,582.12
  4. Step 4: Simplify right side
    561,314.20x = 247,518,934,163.53
  5. Step 5: Solve for x
    x = 247,518,934,163.53/561,314.20
  6. Step 6: Final answer
    x = 440,963.25

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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.