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Finding the Fourth Proportional to 312,390.17, 468,209.67 and 143,678.00

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Solution

The fourth proportional to 312,390.17, 468,209.67 and 143,678.00 is: 215,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,390.17 : 468,209.67 = 143,678.00 : x
  2. Step 2: Convert to fraction form
    312,390.17/468,209.67 = 143,678.00/x
  3. Step 3: Cross multiply
    312,390.17x = 468,209.67 × 143,678.00
  4. Step 4: Simplify right side
    312,390.17x = 67,271,429,597.99
  5. Step 5: Solve for x
    x = 67,271,429,597.99/312,390.17
  6. Step 6: Final answer
    x = 215,344.26

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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.