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Finding the Fourth Proportional to 286,447.26, 429,263.46 and 210,973.86

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Solution

The fourth proportional to 286,447.26, 429,263.46 and 210,973.86 is: 316,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,447.26 : 429,263.46 = 210,973.86 : x
  2. Step 2: Convert to fraction form
    286,447.26/429,263.46 = 210,973.86/x
  3. Step 3: Cross multiply
    286,447.26x = 429,263.46 × 210,973.86
  4. Step 4: Simplify right side
    286,447.26x = 90,563,369,113.16
  5. Step 5: Solve for x
    x = 90,563,369,113.16/286,447.26
  6. Step 6: Final answer
    x = 316,160.71

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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.