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Finding the Fourth Proportional to 286,786.20, 430,265.70 and 153,730.20

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Solution

The fourth proportional to 286,786.20, 430,265.70 and 153,730.20 is: 230,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,786.20 : 430,265.70 = 153,730.20 : x
  2. Step 2: Convert to fraction form
    286,786.20/430,265.70 = 153,730.20/x
  3. Step 3: Cross multiply
    286,786.20x = 430,265.70 × 153,730.20
  4. Step 4: Simplify right side
    286,786.20x = 66,144,832,114.14
  5. Step 5: Solve for x
    x = 66,144,832,114.14/286,786.20
  6. Step 6: Final answer
    x = 230,641.61

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1.5x scale

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.