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Finding the Fourth Proportional to 363,654.42, 501,810.93 and 210,643.68

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Solution

The fourth proportional to 363,654.42, 501,810.93 and 210,643.68 is: 290,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,654.42 : 501,810.93 = 210,643.68 : x
  2. Step 2: Convert to fraction form
    363,654.42/501,810.93 = 210,643.68/x
  3. Step 3: Cross multiply
    363,654.42x = 501,810.93 × 210,643.68
  4. Step 4: Simplify right side
    363,654.42x = 105,703,300,959.42
  5. Step 5: Solve for x
    x = 105,703,300,959.42/363,654.42
  6. Step 6: Final answer
    x = 290,669.64

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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.