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Finding the Fourth Proportional to 646,125.21, 891,652.82 and 359,639.16

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Solution

The fourth proportional to 646,125.21, 891,652.82 and 359,639.16 is: 496,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,125.21 : 891,652.82 = 359,639.16 : x
  2. Step 2: Convert to fraction form
    646,125.21/891,652.82 = 359,639.16/x
  3. Step 3: Cross multiply
    646,125.21x = 891,652.82 × 359,639.16
  4. Step 4: Simplify right side
    646,125.21x = 320,673,271,196.43
  5. Step 5: Solve for x
    x = 320,673,271,196.43/646,125.21
  6. Step 6: Final answer
    x = 496,302.06

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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.