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Finding the Fourth Proportional to 601,980.91, 830,767.60 and 357,110.65

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Solution

The fourth proportional to 601,980.91, 830,767.60 and 357,110.65 is: 492,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,980.91 : 830,767.60 = 357,110.65 : x
  2. Step 2: Convert to fraction form
    601,980.91/830,767.60 = 357,110.65/x
  3. Step 3: Cross multiply
    601,980.91x = 830,767.60 × 357,110.65
  4. Step 4: Simplify right side
    601,980.91x = 296,675,955,778.88
  5. Step 5: Solve for x
    x = 296,675,955,778.88/601,980.91
  6. Step 6: Final answer
    x = 492,832.83

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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.