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Finding the Fourth Proportional to 420,275.84, 579,980 and 229,289.16

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Solution

The fourth proportional to 420,275.84, 579,980 and 229,289.16 is: 316,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,275.84 : 579,980 = 229,289.16 : x
  2. Step 2: Convert to fraction form
    420,275.84/579,980 = 229,289.16/x
  3. Step 3: Cross multiply
    420,275.84x = 579,980 × 229,289.16
  4. Step 4: Simplify right side
    420,275.84x = 132,983,127,016.80
  5. Step 5: Solve for x
    x = 132,983,127,016.80/420,275.84
  6. Step 6: Final answer
    x = 316,418.68

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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.