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Finding the Fourth Proportional to 601,946.65, 830,148.33 and 398,205.73

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Solution

The fourth proportional to 601,946.65, 830,148.33 and 398,205.73 is: 549,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,946.65 : 830,148.33 = 398,205.73 : x
  2. Step 2: Convert to fraction form
    601,946.65/830,148.33 = 398,205.73/x
  3. Step 3: Cross multiply
    601,946.65x = 830,148.33 × 398,205.73
  4. Step 4: Simplify right side
    601,946.65x = 330,569,821,755.93
  5. Step 5: Solve for x
    x = 330,569,821,755.93/601,946.65
  6. Step 6: Final answer
    x = 549,167.97

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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.