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Finding the Fourth Proportional to 286,090.06, 429,417.58 and 214,764.70

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Solution

The fourth proportional to 286,090.06, 429,417.58 and 214,764.70 is: 322,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,090.06 : 429,417.58 = 214,764.70 : x
  2. Step 2: Convert to fraction form
    286,090.06/429,417.58 = 214,764.70/x
  3. Step 3: Cross multiply
    286,090.06x = 429,417.58 × 214,764.70
  4. Step 4: Simplify right side
    286,090.06x = 92,223,737,743.43
  5. Step 5: Solve for x
    x = 92,223,737,743.43/286,090.06
  6. Step 6: Final answer
    x = 322,359.11

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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.