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Finding the Fourth Proportional to 312,666.40, 468,999.60 and 146,778.40

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Solution

The fourth proportional to 312,666.40, 468,999.60 and 146,778.40 is: 220,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,666.40 : 468,999.60 = 146,778.40 : x
  2. Step 2: Convert to fraction form
    312,666.40/468,999.60 = 146,778.40/x
  3. Step 3: Cross multiply
    312,666.40x = 468,999.60 × 146,778.40
  4. Step 4: Simplify right side
    312,666.40x = 68,839,010,888.64
  5. Step 5: Solve for x
    x = 68,839,010,888.64/312,666.40
  6. Step 6: Final answer
    x = 220,167.60

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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.