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Finding the Fourth Proportional to 286,735.68, 430,191 and 146,592.72

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Solution

The fourth proportional to 286,735.68, 430,191 and 146,592.72 is: 219,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,735.68 : 430,191 = 146,592.72 : x
  2. Step 2: Convert to fraction form
    286,735.68/430,191 = 146,592.72/x
  3. Step 3: Cross multiply
    286,735.68x = 430,191 × 146,592.72
  4. Step 4: Simplify right side
    286,735.68x = 63,062,868,809.52
  5. Step 5: Solve for x
    x = 63,062,868,809.52/286,735.68
  6. Step 6: Final answer
    x = 219,933.80

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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.