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Finding the Fourth Proportional to 523,291,208.80, 784,936,813.20 and 159,784,981.60

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Solution

The fourth proportional to 523,291,208.80, 784,936,813.20 and 159,784,981.60 is: 239,677,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,291,208.80 : 784,936,813.20 = 159,784,981.60 : x
  2. Step 2: Convert to fraction form
    523,291,208.80/784,936,813.20 = 159,784,981.60/x
  3. Step 3: Cross multiply
    523,291,208.80x = 784,936,813.20 × 159,784,981.60
  4. Step 4: Simplify right side
    523,291,208.80x = 125,421,114,254,324,640
  5. Step 5: Solve for x
    x = 125,421,114,254,324,640/523,291,208.80
  6. Step 6: Final answer
    x = 239,677,472.40

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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.