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Finding the Fourth Proportional to 200,657,473.80, 300,986,210.70 and 142,544,400.45

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Solution

The fourth proportional to 200,657,473.80, 300,986,210.70 and 142,544,400.45 is: 213,816,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657,473.80 : 300,986,210.70 = 142,544,400.45 : x
  2. Step 2: Convert to fraction form
    200,657,473.80/300,986,210.70 = 142,544,400.45/x
  3. Step 3: Cross multiply
    200,657,473.80x = 300,986,210.70 × 142,544,400.45
  4. Step 4: Simplify right side
    200,657,473.80x = 42,903,898,947,948,872
  5. Step 5: Solve for x
    x = 42,903,898,947,948,872/200,657,473.80
  6. Step 6: Final answer
    x = 213,816,600.68

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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.