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Finding the Fourth Proportional to 821,609,974.50, 1,133,943,460.47 and 520,223,302.50

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Solution

The fourth proportional to 821,609,974.50, 1,133,943,460.47 and 520,223,302.50 is: 717,985,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,609,974.50 : 1,133,943,460.47 = 520,223,302.50 : x
  2. Step 2: Convert to fraction form
    821,609,974.50/1,133,943,460.47 = 520,223,302.50/x
  3. Step 3: Cross multiply
    821,609,974.50x = 1,133,943,460.47 × 520,223,302.50
  4. Step 4: Simplify right side
    821,609,974.50x = 589,903,811,853,981,568
  5. Step 5: Solve for x
    x = 589,903,811,853,981,568/821,609,974.50
  6. Step 6: Final answer
    x = 717,985,212.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.