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Finding the Fourth Proportional to 286,359.82, 429,133.52 and 210,888.07

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Solution

The fourth proportional to 286,359.82, 429,133.52 and 210,888.07 is: 316,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,359.82 : 429,133.52 = 210,888.07 : x
  2. Step 2: Convert to fraction form
    286,359.82/429,133.52 = 210,888.07/x
  3. Step 3: Cross multiply
    286,359.82x = 429,133.52 × 210,888.07
  4. Step 4: Simplify right side
    286,359.82x = 90,499,138,750.67
  5. Step 5: Solve for x
    x = 90,499,138,750.67/286,359.82
  6. Step 6: Final answer
    x = 316,032.95

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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.