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Finding the Fourth Proportional to 429,656.25, 644,262.84 and 294,926.16

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Solution

The fourth proportional to 429,656.25, 644,262.84 and 294,926.16 is: 442,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,656.25 : 644,262.84 = 294,926.16 : x
  2. Step 2: Convert to fraction form
    429,656.25/644,262.84 = 294,926.16/x
  3. Step 3: Cross multiply
    429,656.25x = 644,262.84 × 294,926.16
  4. Step 4: Simplify right side
    429,656.25x = 190,009,965,431.89
  5. Step 5: Solve for x
    x = 190,009,965,431.89/429,656.25
  6. Step 6: Final answer
    x = 442,237.17

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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.