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Finding the Fourth Proportional to 521,366,351.76, 782,733,008.16 and 349,611,706.08

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Solution

The fourth proportional to 521,366,351.76, 782,733,008.16 and 349,611,706.08 is: 524,875,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,366,351.76 : 782,733,008.16 = 349,611,706.08 : x
  2. Step 2: Convert to fraction form
    521,366,351.76/782,733,008.16 = 349,611,706.08/x
  3. Step 3: Cross multiply
    521,366,351.76x = 782,733,008.16 × 349,611,706.08
  4. Step 4: Simplify right side
    521,366,351.76x = 273,652,622,387,948,128
  5. Step 5: Solve for x
    x = 273,652,622,387,948,128/521,366,351.76
  6. Step 6: Final answer
    x = 524,875,879.44

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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.