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Finding the Fourth Proportional to 342,003.30, 513,004.95 and 314,009.70

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Solution

The fourth proportional to 342,003.30, 513,004.95 and 314,009.70 is: 471,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,003.30 : 513,004.95 = 314,009.70 : x
  2. Step 2: Convert to fraction form
    342,003.30/513,004.95 = 314,009.70/x
  3. Step 3: Cross multiply
    342,003.30x = 513,004.95 × 314,009.70
  4. Step 4: Simplify right side
    342,003.30x = 161,088,530,448.02
  5. Step 5: Solve for x
    x = 161,088,530,448.02/342,003.30
  6. Step 6: Final answer
    x = 471,014.55

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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.