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Finding the Fourth Proportional to 480,921.30, 663,677.96 and 299,706.48

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Solution

The fourth proportional to 480,921.30, 663,677.96 and 299,706.48 is: 413,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,921.30 : 663,677.96 = 299,706.48 : x
  2. Step 2: Convert to fraction form
    480,921.30/663,677.96 = 299,706.48/x
  3. Step 3: Cross multiply
    480,921.30x = 663,677.96 × 299,706.48
  4. Step 4: Simplify right side
    480,921.30x = 198,908,583,746.65
  5. Step 5: Solve for x
    x = 198,908,583,746.65/480,921.30
  6. Step 6: Final answer
    x = 413,599.03

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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.