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Finding the Fourth Proportional to 559,872,140.70, 839,808,211.05 and 414,753,318.30

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Solution

The fourth proportional to 559,872,140.70, 839,808,211.05 and 414,753,318.30 is: 622,129,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,140.70 : 839,808,211.05 = 414,753,318.30 : x
  2. Step 2: Convert to fraction form
    559,872,140.70/839,808,211.05 = 414,753,318.30/x
  3. Step 3: Cross multiply
    559,872,140.70x = 839,808,211.05 × 414,753,318.30
  4. Step 4: Simplify right side
    559,872,140.70x = 348,313,242,268,574,208
  5. Step 5: Solve for x
    x = 348,313,242,268,574,208/559,872,140.70
  6. Step 6: Final answer
    x = 622,129,977.45

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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.