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Finding the Fourth Proportional to 819,657,733.07, 1,131,129,159.66 and 448,379,764.45

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Solution

The fourth proportional to 819,657,733.07, 1,131,129,159.66 and 448,379,764.45 is: 618,764,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,657,733.07 : 1,131,129,159.66 = 448,379,764.45 : x
  2. Step 2: Convert to fraction form
    819,657,733.07/1,131,129,159.66 = 448,379,764.45/x
  3. Step 3: Cross multiply
    819,657,733.07x = 1,131,129,159.66 × 448,379,764.45
  4. Step 4: Simplify right side
    819,657,733.07x = 507,175,426,168,049,472
  5. Step 5: Solve for x
    x = 507,175,426,168,049,472/819,657,733.07
  6. Step 6: Final answer
    x = 618,764,888.93

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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.