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Finding the Fourth Proportional to 312,970.14, 469,455.21 and 146,719.26

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Solution

The fourth proportional to 312,970.14, 469,455.21 and 146,719.26 is: 220,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,970.14 : 469,455.21 = 146,719.26 : x
  2. Step 2: Convert to fraction form
    312,970.14/469,455.21 = 146,719.26/x
  3. Step 3: Cross multiply
    312,970.14x = 469,455.21 × 146,719.26
  4. Step 4: Simplify right side
    312,970.14x = 68,878,121,014.34
  5. Step 5: Solve for x
    x = 68,878,121,014.34/312,970.14
  6. Step 6: Final answer
    x = 220,078.89

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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.