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Finding the Fourth Proportional to 646,646,490.40, 970,297,364.40 and 283,144,410.40

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Solution

The fourth proportional to 646,646,490.40, 970,297,364.40 and 283,144,410.40 is: 424,860,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,646,490.40 : 970,297,364.40 = 283,144,410.40 : x
  2. Step 2: Convert to fraction form
    646,646,490.40/970,297,364.40 = 283,144,410.40/x
  3. Step 3: Cross multiply
    646,646,490.40x = 970,297,364.40 × 283,144,410.40
  4. Step 4: Simplify right side
    646,646,490.40x = 274,734,275,155,711,904
  5. Step 5: Solve for x
    x = 274,734,275,155,711,904/646,646,490.40
  6. Step 6: Final answer
    x = 424,860,073.06

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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.