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Finding the Fourth Proportional to 647,053,672.80, 970,580,509.20 and 284,256,616.80

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Solution

The fourth proportional to 647,053,672.80, 970,580,509.20 and 284,256,616.80 is: 426,384,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,053,672.80 : 970,580,509.20 = 284,256,616.80 : x
  2. Step 2: Convert to fraction form
    647,053,672.80/970,580,509.20 = 284,256,616.80/x
  3. Step 3: Cross multiply
    647,053,672.80x = 970,580,509.20 × 284,256,616.80
  4. Step 4: Simplify right side
    647,053,672.80x = 275,893,931,877,213,312
  5. Step 5: Solve for x
    x = 275,893,931,877,213,312/647,053,672.80
  6. Step 6: Final answer
    x = 426,384,925.20

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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.