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Finding the Fourth Proportional to 286,718.52, 429,141.93 and 210,796.95

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Solution

The fourth proportional to 286,718.52, 429,141.93 and 210,796.95 is: 315,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,718.52 : 429,141.93 = 210,796.95 : x
  2. Step 2: Convert to fraction form
    286,718.52/429,141.93 = 210,796.95/x
  3. Step 3: Cross multiply
    286,718.52x = 429,141.93 × 210,796.95
  4. Step 4: Simplify right side
    286,718.52x = 90,461,809,961.11
  5. Step 5: Solve for x
    x = 90,461,809,961.11/286,718.52
  6. Step 6: Final answer
    x = 315,507.38

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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.