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Finding the Fourth Proportional to 538,843,816.70, 808,265,725.05 and 345,133,572.20

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Solution

The fourth proportional to 538,843,816.70, 808,265,725.05 and 345,133,572.20 is: 517,700,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,843,816.70 : 808,265,725.05 = 345,133,572.20 : x
  2. Step 2: Convert to fraction form
    538,843,816.70/808,265,725.05 = 345,133,572.20/x
  3. Step 3: Cross multiply
    538,843,816.70x = 808,265,725.05 × 345,133,572.20
  4. Step 4: Simplify right side
    538,843,816.70x = 278,959,636,973,329,504
  5. Step 5: Solve for x
    x = 278,959,636,973,329,504/538,843,816.70
  6. Step 6: Final answer
    x = 517,700,358.30

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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.