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Finding the Fourth Proportional to 286,865.20, 430,384.20 and 153,809.20

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Solution

The fourth proportional to 286,865.20, 430,384.20 and 153,809.20 is: 230,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,865.20 : 430,384.20 = 153,809.20 : x
  2. Step 2: Convert to fraction form
    286,865.20/430,384.20 = 153,809.20/x
  3. Step 3: Cross multiply
    286,865.20x = 430,384.20 × 153,809.20
  4. Step 4: Simplify right side
    286,865.20x = 66,197,049,494.64
  5. Step 5: Solve for x
    x = 66,197,049,494.64/286,865.20
  6. Step 6: Final answer
    x = 230,760.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.