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Finding the Fourth Proportional to 420,370.80, 580,100.76 and 229,386.48

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Solution

The fourth proportional to 420,370.80, 580,100.76 and 229,386.48 is: 316,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,370.80 : 580,100.76 = 229,386.48 : x
  2. Step 2: Convert to fraction form
    420,370.80/580,100.76 = 229,386.48/x
  3. Step 3: Cross multiply
    420,370.80x = 580,100.76 × 229,386.48
  4. Step 4: Simplify right side
    420,370.80x = 133,067,271,381.73
  5. Step 5: Solve for x
    x = 133,067,271,381.73/420,370.80
  6. Step 6: Final answer
    x = 316,547.37

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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.