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Finding the Fourth Proportional to 286,961.81, 430,247.90 and 160,688.88

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Solution

The fourth proportional to 286,961.81, 430,247.90 and 160,688.88 is: 240,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,961.81 : 430,247.90 = 160,688.88 : x
  2. Step 2: Convert to fraction form
    286,961.81/430,247.90 = 160,688.88/x
  3. Step 3: Cross multiply
    286,961.81x = 430,247.90 × 160,688.88
  4. Step 4: Simplify right side
    286,961.81x = 69,136,053,575.07
  5. Step 5: Solve for x
    x = 69,136,053,575.07/286,961.81
  6. Step 6: Final answer
    x = 240,924.24

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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.