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Finding the Fourth Proportional to 563,520, 845,329.20 and 142,795.89

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Solution

The fourth proportional to 563,520, 845,329.20 and 142,795.89 is: 214,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,520 : 845,329.20 = 142,795.89 : x
  2. Step 2: Convert to fraction form
    563,520/845,329.20 = 142,795.89/x
  3. Step 3: Cross multiply
    563,520x = 845,329.20 × 142,795.89
  4. Step 4: Simplify right side
    563,520x = 120,709,535,456.99
  5. Step 5: Solve for x
    x = 120,709,535,456.99/563,520
  6. Step 6: Final answer
    x = 214,206.30

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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.