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Finding the Fourth Proportional to 286,467.12, 429,705 and 99,483.12

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Solution

The fourth proportional to 286,467.12, 429,705 and 99,483.12 is: 149,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,467.12 : 429,705 = 99,483.12 : x
  2. Step 2: Convert to fraction form
    286,467.12/429,705 = 99,483.12/x
  3. Step 3: Cross multiply
    286,467.12x = 429,705 × 99,483.12
  4. Step 4: Simplify right side
    286,467.12x = 42,748,394,079.60
  5. Step 5: Solve for x
    x = 42,748,394,079.60/286,467.12
  6. Step 6: Final answer
    x = 149,226.18

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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.