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Finding the Fourth Proportional to 643,825.49, 966,686.24 and 360,071.98

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Solution

The fourth proportional to 643,825.49, 966,686.24 and 360,071.98 is: 540,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,825.49 : 966,686.24 = 360,071.98 : x
  2. Step 2: Convert to fraction form
    643,825.49/966,686.24 = 360,071.98/x
  3. Step 3: Cross multiply
    643,825.49x = 966,686.24 × 360,071.98
  4. Step 4: Simplify right side
    643,825.49x = 348,076,626,959.02
  5. Step 5: Solve for x
    x = 348,076,626,959.02/643,825.49
  6. Step 6: Final answer
    x = 540,638.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.