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Finding the Fourth Proportional to 200,462,681.70, 300,694,022.55 and 98,426,009.70

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Solution

The fourth proportional to 200,462,681.70, 300,694,022.55 and 98,426,009.70 is: 147,639,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,462,681.70 : 300,694,022.55 = 98,426,009.70 : x
  2. Step 2: Convert to fraction form
    200,462,681.70/300,694,022.55 = 98,426,009.70/x
  3. Step 3: Cross multiply
    200,462,681.70x = 300,694,022.55 × 98,426,009.70
  4. Step 4: Simplify right side
    200,462,681.70x = 29,596,112,780,238,320
  5. Step 5: Solve for x
    x = 29,596,112,780,238,320/200,462,681.70
  6. Step 6: Final answer
    x = 147,639,014.55

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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.