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Finding the Fourth Proportional to 561,931,373.35, 775,448,460.45 and 311,046,048.86

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Solution

The fourth proportional to 561,931,373.35, 775,448,460.45 and 311,046,048.86 is: 429,234,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,931,373.35 : 775,448,460.45 = 311,046,048.86 : x
  2. Step 2: Convert to fraction form
    561,931,373.35/775,448,460.45 = 311,046,048.86/x
  3. Step 3: Cross multiply
    561,931,373.35x = 775,448,460.45 × 311,046,048.86
  4. Step 4: Simplify right side
    561,931,373.35x = 241,200,179,718,320,096
  5. Step 5: Solve for x
    x = 241,200,179,718,320,096/561,931,373.35
  6. Step 6: Final answer
    x = 429,234,228.87

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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.