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Finding the Fourth Proportional to 309,999.30, 465,290.01 and 152,340.90

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Solution

The fourth proportional to 309,999.30, 465,290.01 and 152,340.90 is: 228,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,999.30 : 465,290.01 = 152,340.90 : x
  2. Step 2: Convert to fraction form
    309,999.30/465,290.01 = 152,340.90/x
  3. Step 3: Cross multiply
    309,999.30x = 465,290.01 × 152,340.90
  4. Step 4: Simplify right side
    309,999.30x = 70,882,698,884.41
  5. Step 5: Solve for x
    x = 70,882,698,884.41/309,999.30
  6. Step 6: Final answer
    x = 228,654.38

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1.5x scale

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.