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Finding the Fourth Proportional to 492,478.64, 679,622.84 and 288,565.84

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Solution

The fourth proportional to 492,478.64, 679,622.84 and 288,565.84 is: 398,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,478.64 : 679,622.84 = 288,565.84 : x
  2. Step 2: Convert to fraction form
    492,478.64/679,622.84 = 288,565.84/x
  3. Step 3: Cross multiply
    492,478.64x = 679,622.84 × 288,565.84
  4. Step 4: Simplify right side
    492,478.64x = 196,115,935,707.79
  5. Step 5: Solve for x
    x = 196,115,935,707.79/492,478.64
  6. Step 6: Final answer
    x = 398,222.22

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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.