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Finding the Fourth Proportional to 310,100.60, 465,150.90 and 305,953.40

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Solution

The fourth proportional to 310,100.60, 465,150.90 and 305,953.40 is: 458,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,100.60 : 465,150.90 = 305,953.40 : x
  2. Step 2: Convert to fraction form
    310,100.60/465,150.90 = 305,953.40/x
  3. Step 3: Cross multiply
    310,100.60x = 465,150.90 × 305,953.40
  4. Step 4: Simplify right side
    310,100.60x = 142,314,499,368.06
  5. Step 5: Solve for x
    x = 142,314,499,368.06/310,100.60
  6. Step 6: Final answer
    x = 458,930.10

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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.