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Finding the Fourth Proportional to 646,166.40, 891,700.08 and 359,686.08

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Solution

The fourth proportional to 646,166.40, 891,700.08 and 359,686.08 is: 496,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,166.40 : 891,700.08 = 359,686.08 : x
  2. Step 2: Convert to fraction form
    646,166.40/891,700.08 = 359,686.08/x
  3. Step 3: Cross multiply
    646,166.40x = 891,700.08 × 359,686.08
  4. Step 4: Simplify right side
    646,166.40x = 320,732,106,310.89
  5. Step 5: Solve for x
    x = 320,732,106,310.89/646,166.40
  6. Step 6: Final answer
    x = 496,361.47

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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.