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Finding the Fourth Proportional to 646,058.42, 891,551.69 and 359,578.60

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Solution

The fourth proportional to 646,058.42, 891,551.69 and 359,578.60 is: 496,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,058.42 : 891,551.69 = 359,578.60 : x
  2. Step 2: Convert to fraction form
    646,058.42/891,551.69 = 359,578.60/x
  3. Step 3: Cross multiply
    646,058.42x = 891,551.69 × 359,578.60
  4. Step 4: Simplify right side
    646,058.42x = 320,582,908,517.83
  5. Step 5: Solve for x
    x = 320,582,908,517.83/646,058.42
  6. Step 6: Final answer
    x = 496,213.50

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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.