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Finding the Fourth Proportional to 621,500.72, 857,643.48 and 380,188.40

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Solution

The fourth proportional to 621,500.72, 857,643.48 and 380,188.40 is: 524,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,500.72 : 857,643.48 = 380,188.40 : x
  2. Step 2: Convert to fraction form
    621,500.72/857,643.48 = 380,188.40/x
  3. Step 3: Cross multiply
    621,500.72x = 857,643.48 × 380,188.40
  4. Step 4: Simplify right side
    621,500.72x = 326,066,102,431.63
  5. Step 5: Solve for x
    x = 326,066,102,431.63/621,500.72
  6. Step 6: Final answer
    x = 524,643.16

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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.