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Finding the Fourth Proportional to 614,434, 847,906.76 and 342,485.68

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Solution

The fourth proportional to 614,434, 847,906.76 and 342,485.68 is: 472,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,434 : 847,906.76 = 342,485.68 : x
  2. Step 2: Convert to fraction form
    614,434/847,906.76 = 342,485.68/x
  3. Step 3: Cross multiply
    614,434x = 847,906.76 × 342,485.68
  4. Step 4: Simplify right side
    614,434x = 290,395,923,275.20
  5. Step 5: Solve for x
    x = 290,395,923,275.20/614,434
  6. Step 6: Final answer
    x = 472,623.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.