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Finding the Fourth Proportional to 752,970,728.30, 1,039,124,836.64 and 418,457,347.08

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Solution

The fourth proportional to 752,970,728.30, 1,039,124,836.64 and 418,457,347.08 is: 577,485,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,970,728.30 : 1,039,124,836.64 = 418,457,347.08 : x
  2. Step 2: Convert to fraction form
    752,970,728.30/1,039,124,836.64 = 418,457,347.08/x
  3. Step 3: Cross multiply
    752,970,728.30x = 1,039,124,836.64 × 418,457,347.08
  4. Step 4: Simplify right side
    752,970,728.30x = 434,829,422,425,312,768
  5. Step 5: Solve for x
    x = 434,829,422,425,312,768/752,970,728.30
  6. Step 6: Final answer
    x = 577,485,161.22

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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.