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Finding the Fourth Proportional to 559,875,998.40, 839,813,997.60 and 519,061,329.60

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Solution

The fourth proportional to 559,875,998.40, 839,813,997.60 and 519,061,329.60 is: 778,591,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,875,998.40 : 839,813,997.60 = 519,061,329.60 : x
  2. Step 2: Convert to fraction form
    559,875,998.40/839,813,997.60 = 519,061,329.60/x
  3. Step 3: Cross multiply
    559,875,998.40x = 839,813,997.60 × 519,061,329.60
  4. Step 4: Simplify right side
    559,875,998.40x = 435,914,970,210,947,264
  5. Step 5: Solve for x
    x = 435,914,970,210,947,264/559,875,998.40
  6. Step 6: Final answer
    x = 778,591,994.40

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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.