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Finding the Fourth Proportional to 379,210.48, 523,265.70 and 209,434.48

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Solution

The fourth proportional to 379,210.48, 523,265.70 and 209,434.48 is: 288,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,210.48 : 523,265.70 = 209,434.48 : x
  2. Step 2: Convert to fraction form
    379,210.48/523,265.70 = 209,434.48/x
  3. Step 3: Cross multiply
    379,210.48x = 523,265.70 × 209,434.48
  4. Step 4: Simplify right side
    379,210.48x = 109,589,879,781.34
  5. Step 5: Solve for x
    x = 109,589,879,781.34/379,210.48
  6. Step 6: Final answer
    x = 288,994.86

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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.