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Finding the Fourth Proportional to 561,931,392.49, 775,448,486.80 and 311,046,068

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Solution

The fourth proportional to 561,931,392.49, 775,448,486.80 and 311,046,068 is: 429,234,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,931,392.49 : 775,448,486.80 = 311,046,068 : x
  2. Step 2: Convert to fraction form
    561,931,392.49/775,448,486.80 = 311,046,068/x
  3. Step 3: Cross multiply
    561,931,392.49x = 775,448,486.80 × 311,046,068
  4. Step 4: Simplify right side
    561,931,392.49x = 241,200,202,755,689,888
  5. Step 5: Solve for x
    x = 241,200,202,755,689,888/561,931,392.49
  6. Step 6: Final answer
    x = 429,234,255.25

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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.