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Finding the Fourth Proportional to 821,609,974, 1,133,943,459.78 and 520,223,302

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Solution

The fourth proportional to 821,609,974, 1,133,943,459.78 and 520,223,302 is: 717,985,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,609,974 : 1,133,943,459.78 = 520,223,302 : x
  2. Step 2: Convert to fraction form
    821,609,974/1,133,943,459.78 = 520,223,302/x
  3. Step 3: Cross multiply
    821,609,974x = 1,133,943,459.78 × 520,223,302
  4. Step 4: Simplify right side
    821,609,974x = 589,903,810,928,055,808
  5. Step 5: Solve for x
    x = 589,903,810,928,055,808/821,609,974
  6. Step 6: Final answer
    x = 717,985,211.47

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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.