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Finding the Fourth Proportional to 420,547.92, 580,364.28 and 229,578

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Solution

The fourth proportional to 420,547.92, 580,364.28 and 229,578 is: 316,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,547.92 : 580,364.28 = 229,578 : x
  2. Step 2: Convert to fraction form
    420,547.92/580,364.28 = 229,578/x
  3. Step 3: Cross multiply
    420,547.92x = 580,364.28 × 229,578
  4. Step 4: Simplify right side
    420,547.92x = 133,238,870,673.84
  5. Step 5: Solve for x
    x = 133,238,870,673.84/420,547.92
  6. Step 6: Final answer
    x = 316,822.09

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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.