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Finding the Fourth Proportional to 310,310.40, 465,465.60 and 152,846.40

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Solution

The fourth proportional to 310,310.40, 465,465.60 and 152,846.40 is: 229,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,310.40 : 465,465.60 = 152,846.40 : x
  2. Step 2: Convert to fraction form
    310,310.40/465,465.60 = 152,846.40/x
  3. Step 3: Cross multiply
    310,310.40x = 465,465.60 × 152,846.40
  4. Step 4: Simplify right side
    310,310.40x = 71,144,741,283.84
  5. Step 5: Solve for x
    x = 71,144,741,283.84/310,310.40
  6. Step 6: Final answer
    x = 229,269.60

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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.