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Finding the Fourth Proportional to 354,953.49, 490,354.01 and 307,123.80

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Solution

The fourth proportional to 354,953.49, 490,354.01 and 307,123.80 is: 424,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,953.49 : 490,354.01 = 307,123.80 : x
  2. Step 2: Convert to fraction form
    354,953.49/490,354.01 = 307,123.80/x
  3. Step 3: Cross multiply
    354,953.49x = 490,354.01 × 307,123.80
  4. Step 4: Simplify right side
    354,953.49x = 150,599,385,360.82
  5. Step 5: Solve for x
    x = 150,599,385,360.82/354,953.49
  6. Step 6: Final answer
    x = 424,279.21

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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.