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Finding the Fourth Proportional to 492,864.72, 680,024.04 and 288,806.08

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Solution

The fourth proportional to 492,864.72, 680,024.04 and 288,806.08 is: 398,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,864.72 : 680,024.04 = 288,806.08 : x
  2. Step 2: Convert to fraction form
    492,864.72/680,024.04 = 288,806.08/x
  3. Step 3: Cross multiply
    492,864.72x = 680,024.04 × 288,806.08
  4. Step 4: Simplify right side
    492,864.72x = 196,395,077,298.16
  5. Step 5: Solve for x
    x = 196,395,077,298.16/492,864.72
  6. Step 6: Final answer
    x = 398,476.64

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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.