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Finding the Fourth Proportional to 420,148.68, 579,813 and 229,168.92

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Solution

The fourth proportional to 420,148.68, 579,813 and 229,168.92 is: 316,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,148.68 : 579,813 = 229,168.92 : x
  2. Step 2: Convert to fraction form
    420,148.68/579,813 = 229,168.92/x
  3. Step 3: Cross multiply
    420,148.68x = 579,813 × 229,168.92
  4. Step 4: Simplify right side
    420,148.68x = 132,875,119,011.96
  5. Step 5: Solve for x
    x = 132,875,119,011.96/420,148.68
  6. Step 6: Final answer
    x = 316,257.38

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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.