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Finding the Fourth Proportional to 313,260,276.80, 469,890,415.20 and 190,816,270.40

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Solution

The fourth proportional to 313,260,276.80, 469,890,415.20 and 190,816,270.40 is: 286,224,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,260,276.80 : 469,890,415.20 = 190,816,270.40 : x
  2. Step 2: Convert to fraction form
    313,260,276.80/469,890,415.20 = 190,816,270.40/x
  3. Step 3: Cross multiply
    313,260,276.80x = 469,890,415.20 × 190,816,270.40
  4. Step 4: Simplify right side
    313,260,276.80x = 89,662,736,525,171,472
  5. Step 5: Solve for x
    x = 89,662,736,525,171,472/313,260,276.80
  6. Step 6: Final answer
    x = 286,224,405.60

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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.