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Finding the Fourth Proportional to 392,917,643.64, 589,376,466.10 and 159,693,713.76

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Solution

The fourth proportional to 392,917,643.64, 589,376,466.10 and 159,693,713.76 is: 239,540,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,917,643.64 : 589,376,466.10 = 159,693,713.76 : x
  2. Step 2: Convert to fraction form
    392,917,643.64/589,376,466.10 = 159,693,713.76/x
  3. Step 3: Cross multiply
    392,917,643.64x = 589,376,466.10 × 159,693,713.76
  4. Step 4: Simplify right side
    392,917,643.64x = 94,119,716,674,253,744
  5. Step 5: Solve for x
    x = 94,119,716,674,253,744/392,917,643.64
  6. Step 6: Final answer
    x = 239,540,570.90

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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.