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Finding the Fourth Proportional to 538,843,809.20, 808,265,713.80 and 345,133,564.70

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Solution

The fourth proportional to 538,843,809.20, 808,265,713.80 and 345,133,564.70 is: 517,700,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,843,809.20 : 808,265,713.80 = 345,133,564.70 : x
  2. Step 2: Convert to fraction form
    538,843,809.20/808,265,713.80 = 345,133,564.70/x
  3. Step 3: Cross multiply
    538,843,809.20x = 808,265,713.80 × 345,133,564.70
  4. Step 4: Simplify right side
    538,843,809.20x = 278,959,627,028,583,968
  5. Step 5: Solve for x
    x = 278,959,627,028,583,968/538,843,809.20
  6. Step 6: Final answer
    x = 517,700,347.05

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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.