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Finding the Fourth Proportional to 420,005.40, 579,607.74 and 229,019.16

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Solution

The fourth proportional to 420,005.40, 579,607.74 and 229,019.16 is: 316,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,005.40 : 579,607.74 = 229,019.16 : x
  2. Step 2: Convert to fraction form
    420,005.40/579,607.74 = 229,019.16/x
  3. Step 3: Cross multiply
    420,005.40x = 579,607.74 × 229,019.16
  4. Step 4: Simplify right side
    420,005.40x = 132,741,277,744.30
  5. Step 5: Solve for x
    x = 132,741,277,744.30/420,005.40
  6. Step 6: Final answer
    x = 316,046.60

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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.