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Finding the Fourth Proportional to 286,359.57, 429,133.14 and 210,887.82

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Solution

The fourth proportional to 286,359.57, 429,133.14 and 210,887.82 is: 316,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,359.57 : 429,133.14 = 210,887.82 : x
  2. Step 2: Convert to fraction form
    286,359.57/429,133.14 = 210,887.82/x
  3. Step 3: Cross multiply
    286,359.57x = 429,133.14 × 210,887.82
  4. Step 4: Simplify right side
    286,359.57x = 90,498,952,384.35
  5. Step 5: Solve for x
    x = 90,498,952,384.35/286,359.57
  6. Step 6: Final answer
    x = 316,032.58

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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.