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Finding the Fourth Proportional to 398,581,651.80, 597,872,477.70 and 282,355,505.10

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Solution

The fourth proportional to 398,581,651.80, 597,872,477.70 and 282,355,505.10 is: 423,533,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,581,651.80 : 597,872,477.70 = 282,355,505.10 : x
  2. Step 2: Convert to fraction form
    398,581,651.80/597,872,477.70 = 282,355,505.10/x
  3. Step 3: Cross multiply
    398,581,651.80x = 597,872,477.70 × 282,355,505.10
  4. Step 4: Simplify right side
    398,581,651.80x = 168,812,585,426,372,000
  5. Step 5: Solve for x
    x = 168,812,585,426,372,000/398,581,651.80
  6. Step 6: Final answer
    x = 423,533,257.65

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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.