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Finding the Fourth Proportional to 646,124.21, 891,651.44 and 359,638.16

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Solution

The fourth proportional to 646,124.21, 891,651.44 and 359,638.16 is: 496,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,124.21 : 891,651.44 = 359,638.16 : x
  2. Step 2: Convert to fraction form
    646,124.21/891,651.44 = 359,638.16/x
  3. Step 3: Cross multiply
    646,124.21x = 891,651.44 × 359,638.16
  4. Step 4: Simplify right side
    646,124.21x = 320,671,883,242.95
  5. Step 5: Solve for x
    x = 320,671,883,242.95/646,124.21
  6. Step 6: Final answer
    x = 496,300.68

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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.