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Finding the Fourth Proportional to 561,142.08, 774,364.86 and 319,419.45

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Solution

The fourth proportional to 561,142.08, 774,364.86 and 319,419.45 is: 440,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,142.08 : 774,364.86 = 319,419.45 : x
  2. Step 2: Convert to fraction form
    561,142.08/774,364.86 = 319,419.45/x
  3. Step 3: Cross multiply
    561,142.08x = 774,364.86 × 319,419.45
  4. Step 4: Simplify right side
    561,142.08x = 247,347,197,680.53
  5. Step 5: Solve for x
    x = 247,347,197,680.53/561,142.08
  6. Step 6: Final answer
    x = 440,792.46

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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.