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Finding the Fourth Proportional to 286,487.08, 429,731.10 and 99,367

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Solution

The fourth proportional to 286,487.08, 429,731.10 and 99,367 is: 149,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,487.08 : 429,731.10 = 99,367 : x
  2. Step 2: Convert to fraction form
    286,487.08/429,731.10 = 99,367/x
  3. Step 3: Cross multiply
    286,487.08x = 429,731.10 × 99,367
  4. Step 4: Simplify right side
    286,487.08x = 42,701,090,213.70
  5. Step 5: Solve for x
    x = 42,701,090,213.70/286,487.08
  6. Step 6: Final answer
    x = 149,050.67

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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.