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Finding the Fourth Proportional to 286,568.10, 429,852.15 and 153,707.85

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Solution

The fourth proportional to 286,568.10, 429,852.15 and 153,707.85 is: 230,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,568.10 : 429,852.15 = 153,707.85 : x
  2. Step 2: Convert to fraction form
    286,568.10/429,852.15 = 153,707.85/x
  3. Step 3: Cross multiply
    286,568.10x = 429,852.15 × 153,707.85
  4. Step 4: Simplify right side
    286,568.10x = 66,071,649,794.38
  5. Step 5: Solve for x
    x = 66,071,649,794.38/286,568.10
  6. Step 6: Final answer
    x = 230,561.78

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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.