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Finding the Fourth Proportional to 286,513.74, 429,622.11 and 151,650.90

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Solution

The fourth proportional to 286,513.74, 429,622.11 and 151,650.90 is: 227,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,513.74 : 429,622.11 = 151,650.90 : x
  2. Step 2: Convert to fraction form
    286,513.74/429,622.11 = 151,650.90/x
  3. Step 3: Cross multiply
    286,513.74x = 429,622.11 × 151,650.90
  4. Step 4: Simplify right side
    286,513.74x = 65,152,579,641.40
  5. Step 5: Solve for x
    x = 65,152,579,641.40/286,513.74
  6. Step 6: Final answer
    x = 227,397.75

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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.