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Finding the Fourth Proportional to 621,407.61, 931,465.04 and 421,744.23

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Solution

The fourth proportional to 621,407.61, 931,465.04 and 421,744.23 is: 632,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,407.61 : 931,465.04 = 421,744.23 : x
  2. Step 2: Convert to fraction form
    621,407.61/931,465.04 = 421,744.23/x
  3. Step 3: Cross multiply
    621,407.61x = 931,465.04 × 421,744.23
  4. Step 4: Simplify right side
    621,407.61x = 392,840,003,958.00
  5. Step 5: Solve for x
    x = 392,840,003,958.00/621,407.61
  6. Step 6: Final answer
    x = 632,177.65

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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.