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Finding the Fourth Proportional to 420,953.76, 580,918.23 and 229,970.34

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Solution

The fourth proportional to 420,953.76, 580,918.23 and 229,970.34 is: 317,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,953.76 : 580,918.23 = 229,970.34 : x
  2. Step 2: Convert to fraction form
    420,953.76/580,918.23 = 229,970.34/x
  3. Step 3: Cross multiply
    420,953.76x = 580,918.23 × 229,970.34
  4. Step 4: Simplify right side
    420,953.76x = 133,593,962,865.30
  5. Step 5: Solve for x
    x = 133,593,962,865.30/420,953.76
  6. Step 6: Final answer
    x = 317,360.18

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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.