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Finding the Fourth Proportional to 472,392,420.70, 708,588,631.05 and 411,926,244.70

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Solution

The fourth proportional to 472,392,420.70, 708,588,631.05 and 411,926,244.70 is: 617,889,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,420.70 : 708,588,631.05 = 411,926,244.70 : x
  2. Step 2: Convert to fraction form
    472,392,420.70/708,588,631.05 = 411,926,244.70/x
  3. Step 3: Cross multiply
    472,392,420.70x = 708,588,631.05 × 411,926,244.70
  4. Step 4: Simplify right side
    472,392,420.70x = 291,886,253,825,540,288
  5. Step 5: Solve for x
    x = 291,886,253,825,540,288/472,392,420.70
  6. Step 6: Final answer
    x = 617,889,367.05

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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.