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Finding the Fourth Proportional to 420,417, 580,187.70 and 229,442.60

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Solution

The fourth proportional to 420,417, 580,187.70 and 229,442.60 is: 316,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,417 : 580,187.70 = 229,442.60 : x
  2. Step 2: Convert to fraction form
    420,417/580,187.70 = 229,442.60/x
  3. Step 3: Cross multiply
    420,417x = 580,187.70 × 229,442.60
  4. Step 4: Simplify right side
    420,417x = 133,119,774,376.02
  5. Step 5: Solve for x
    x = 133,119,774,376.02/420,417
  6. Step 6: Final answer
    x = 316,637.47

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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.