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Finding the Fourth Proportional to 256,643.73, 385,051.46 and 144,543.51

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Solution

The fourth proportional to 256,643.73, 385,051.46 and 144,543.51 is: 216,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,643.73 : 385,051.46 = 144,543.51 : x
  2. Step 2: Convert to fraction form
    256,643.73/385,051.46 = 144,543.51/x
  3. Step 3: Cross multiply
    256,643.73x = 385,051.46 × 144,543.51
  4. Step 4: Simplify right side
    256,643.73x = 55,656,688,836.31
  5. Step 5: Solve for x
    x = 55,656,688,836.31/256,643.73
  6. Step 6: Final answer
    x = 216,863.62

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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.