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Finding the Fourth Proportional to 286,203.65, 429,314.58 and 143,971.22

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Solution

The fourth proportional to 286,203.65, 429,314.58 and 143,971.22 is: 215,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,203.65 : 429,314.58 = 143,971.22 : x
  2. Step 2: Convert to fraction form
    286,203.65/429,314.58 = 143,971.22/x
  3. Step 3: Cross multiply
    286,203.65x = 429,314.58 × 143,971.22
  4. Step 4: Simplify right side
    286,203.65x = 61,808,944,919.67
  5. Step 5: Solve for x
    x = 61,808,944,919.67/286,203.65
  6. Step 6: Final answer
    x = 215,961.42

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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.