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Finding the Fourth Proportional to 289,656.52, 399,703.95 and 162,307.51

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Solution

The fourth proportional to 289,656.52, 399,703.95 and 162,307.51 is: 223,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656.52 : 399,703.95 = 162,307.51 : x
  2. Step 2: Convert to fraction form
    289,656.52/399,703.95 = 162,307.51/x
  3. Step 3: Cross multiply
    289,656.52x = 399,703.95 × 162,307.51
  4. Step 4: Simplify right side
    289,656.52x = 64,874,951,862.40
  5. Step 5: Solve for x
    x = 64,874,951,862.40/289,656.52
  6. Step 6: Final answer
    x = 223,972.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.