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Finding the Fourth Proportional to 458,420,468.80, 686,119,048.80 and 322,371,572.80

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Solution

The fourth proportional to 458,420,468.80, 686,119,048.80 and 322,371,572.80 is: 482,494,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,420,468.80 : 686,119,048.80 = 322,371,572.80 : x
  2. Step 2: Convert to fraction form
    458,420,468.80/686,119,048.80 = 322,371,572.80/x
  3. Step 3: Cross multiply
    458,420,468.80x = 686,119,048.80 × 322,371,572.80
  4. Step 4: Simplify right side
    458,420,468.80x = 221,185,276,889,695,936
  5. Step 5: Solve for x
    x = 221,185,276,889,695,936/458,420,468.80
  6. Step 6: Final answer
    x = 482,494,329.86

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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.