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Finding the Fourth Proportional to 308,018,709, 462,023,710.02 and 74,851,134.84

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Solution

The fourth proportional to 308,018,709, 462,023,710.02 and 74,851,134.84 is: 112,275,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,018,709 : 462,023,710.02 = 74,851,134.84 : x
  2. Step 2: Convert to fraction form
    308,018,709/462,023,710.02 = 74,851,134.84/x
  3. Step 3: Cross multiply
    308,018,709x = 462,023,710.02 × 74,851,134.84
  4. Step 4: Simplify right side
    308,018,709x = 34,582,999,017,984,080
  5. Step 5: Solve for x
    x = 34,582,999,017,984,080/308,018,709
  6. Step 6: Final answer
    x = 112,275,644.33

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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.