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Finding the Fourth Proportional to 601,674, 830,319.30 and 329,739.68

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Solution

The fourth proportional to 601,674, 830,319.30 and 329,739.68 is: 455,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,674 : 830,319.30 = 329,739.68 : x
  2. Step 2: Convert to fraction form
    601,674/830,319.30 = 329,739.68/x
  3. Step 3: Cross multiply
    601,674x = 830,319.30 × 329,739.68
  4. Step 4: Simplify right side
    601,674x = 273,789,220,279.82
  5. Step 5: Solve for x
    x = 273,789,220,279.82/601,674
  6. Step 6: Final answer
    x = 455,045.79

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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.