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Finding the Fourth Proportional to 420,362.80, 580,114.66 and 229,386.68

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Solution

The fourth proportional to 420,362.80, 580,114.66 and 229,386.68 is: 316,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,362.80 : 580,114.66 = 229,386.68 : x
  2. Step 2: Convert to fraction form
    420,362.80/580,114.66 = 229,386.68/x
  3. Step 3: Cross multiply
    420,362.80x = 580,114.66 × 229,386.68
  4. Step 4: Simplify right side
    420,362.80x = 133,070,575,876.73
  5. Step 5: Solve for x
    x = 133,070,575,876.73/420,362.80
  6. Step 6: Final answer
    x = 316,561.26

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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.