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Finding the Fourth Proportional to 342,909.70, 473,222.40 and 205,230.97

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Solution

The fourth proportional to 342,909.70, 473,222.40 and 205,230.97 is: 283,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,909.70 : 473,222.40 = 205,230.97 : x
  2. Step 2: Convert to fraction form
    342,909.70/473,222.40 = 205,230.97/x
  3. Step 3: Cross multiply
    342,909.70x = 473,222.40 × 205,230.97
  4. Step 4: Simplify right side
    342,909.70x = 97,119,890,492.19
  5. Step 5: Solve for x
    x = 97,119,890,492.19/342,909.70
  6. Step 6: Final answer
    x = 283,222.93

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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.