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Finding the Fourth Proportional to 420,459.47, 580,225.97 and 229,474.22

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Solution

The fourth proportional to 420,459.47, 580,225.97 and 229,474.22 is: 316,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,459.47 : 580,225.97 = 229,474.22 : x
  2. Step 2: Convert to fraction form
    420,459.47/580,225.97 = 229,474.22/x
  3. Step 3: Cross multiply
    420,459.47x = 580,225.97 × 229,474.22
  4. Step 4: Simplify right side
    420,459.47x = 133,146,903,166.91
  5. Step 5: Solve for x
    x = 133,146,903,166.91/420,459.47
  6. Step 6: Final answer
    x = 316,670.01

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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.