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Finding the Fourth Proportional to 310,500.35, 465,750.53 and 142,210.70

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Solution

The fourth proportional to 310,500.35, 465,750.53 and 142,210.70 is: 213,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,500.35 : 465,750.53 = 142,210.70 : x
  2. Step 2: Convert to fraction form
    310,500.35/465,750.53 = 142,210.70/x
  3. Step 3: Cross multiply
    310,500.35x = 465,750.53 × 142,210.70
  4. Step 4: Simplify right side
    310,500.35x = 66,234,708,185.62
  5. Step 5: Solve for x
    x = 66,234,708,185.62/310,500.35
  6. Step 6: Final answer
    x = 213,316.05

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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.