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Finding the Fourth Proportional to 646,569,352.80, 969,854,029.20 and 283,772,296.80

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Solution

The fourth proportional to 646,569,352.80, 969,854,029.20 and 283,772,296.80 is: 425,658,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,569,352.80 : 969,854,029.20 = 283,772,296.80 : x
  2. Step 2: Convert to fraction form
    646,569,352.80/969,854,029.20 = 283,772,296.80/x
  3. Step 3: Cross multiply
    646,569,352.80x = 969,854,029.20 × 283,772,296.80
  4. Step 4: Simplify right side
    646,569,352.80x = 275,217,705,426,818,304
  5. Step 5: Solve for x
    x = 275,217,705,426,818,304/646,569,352.80
  6. Step 6: Final answer
    x = 425,658,445.20

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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.