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Finding the Fourth Proportional to 320,438.70, 480,139.65 and 201,897.90

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Solution

The fourth proportional to 320,438.70, 480,139.65 and 201,897.90 is: 302,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438.70 : 480,139.65 = 201,897.90 : x
  2. Step 2: Convert to fraction form
    320,438.70/480,139.65 = 201,897.90/x
  3. Step 3: Cross multiply
    320,438.70x = 480,139.65 × 201,897.90
  4. Step 4: Simplify right side
    320,438.70x = 96,939,187,041.74
  5. Step 5: Solve for x
    x = 96,939,187,041.74/320,438.70
  6. Step 6: Final answer
    x = 302,520.22

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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.