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Finding the Fourth Proportional to 495,224,014.80, 741,072,425.40 and 431,230,645.20

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Solution

The fourth proportional to 495,224,014.80, 741,072,425.40 and 431,230,645.20 is: 645,310,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,224,014.80 : 741,072,425.40 = 431,230,645.20 : x
  2. Step 2: Convert to fraction form
    495,224,014.80/741,072,425.40 = 431,230,645.20/x
  3. Step 3: Cross multiply
    495,224,014.80x = 741,072,425.40 × 431,230,645.20
  4. Step 4: Simplify right side
    495,224,014.80x = 319,573,140,145,170,880
  5. Step 5: Solve for x
    x = 319,573,140,145,170,880/495,224,014.80
  6. Step 6: Final answer
    x = 645,310,264.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.