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Finding the Fourth Proportional to 521,640,751.80, 782,461,127.70 and 279,776,047.80

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Solution

The fourth proportional to 521,640,751.80, 782,461,127.70 and 279,776,047.80 is: 419,664,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,640,751.80 : 782,461,127.70 = 279,776,047.80 : x
  2. Step 2: Convert to fraction form
    521,640,751.80/782,461,127.70 = 279,776,047.80/x
  3. Step 3: Cross multiply
    521,640,751.80x = 782,461,127.70 × 279,776,047.80
  4. Step 4: Simplify right side
    521,640,751.80x = 218,913,881,865,037,120
  5. Step 5: Solve for x
    x = 218,913,881,865,037,120/521,640,751.80
  6. Step 6: Final answer
    x = 419,664,071.70

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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.