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Finding the Fourth Proportional to 420,430.75, 580,206.74 and 229,456.39

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Solution

The fourth proportional to 420,430.75, 580,206.74 and 229,456.39 is: 316,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,430.75 : 580,206.74 = 229,456.39 : x
  2. Step 2: Convert to fraction form
    420,430.75/580,206.74 = 229,456.39/x
  3. Step 3: Cross multiply
    420,430.75x = 580,206.74 × 229,456.39
  4. Step 4: Simplify right side
    420,430.75x = 133,132,144,014.07
  5. Step 5: Solve for x
    x = 133,132,144,014.07/420,430.75
  6. Step 6: Final answer
    x = 316,656.53

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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.