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Finding the Fourth Proportional to 718,596,761.76, 991,475,050.32 and 421,079,264.64

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Solution

The fourth proportional to 718,596,761.76, 991,475,050.32 and 421,079,264.64 is: 580,978,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,596,761.76 : 991,475,050.32 = 421,079,264.64 : x
  2. Step 2: Convert to fraction form
    718,596,761.76/991,475,050.32 = 421,079,264.64/x
  3. Step 3: Cross multiply
    718,596,761.76x = 991,475,050.32 × 421,079,264.64
  4. Step 4: Simplify right side
    718,596,761.76x = 417,489,585,097,652,608
  5. Step 5: Solve for x
    x = 417,489,585,097,652,608/718,596,761.76
  6. Step 6: Final answer
    x = 580,978,940.23

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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.