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Finding the Fourth Proportional to 286,642.58, 430,136.68 and 99,785.30

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Solution

The fourth proportional to 286,642.58, 430,136.68 and 99,785.30 is: 149,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,642.58 : 430,136.68 = 99,785.30 : x
  2. Step 2: Convert to fraction form
    286,642.58/430,136.68 = 99,785.30/x
  3. Step 3: Cross multiply
    286,642.58x = 430,136.68 × 99,785.30
  4. Step 4: Simplify right side
    286,642.58x = 42,921,317,654.80
  5. Step 5: Solve for x
    x = 42,921,317,654.80/286,642.58
  6. Step 6: Final answer
    x = 149,738.11

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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.