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Finding the Fourth Proportional to 465,675.46, 642,153.63 and 389,166.01

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Solution

The fourth proportional to 465,675.46, 642,153.63 and 389,166.01 is: 536,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,675.46 : 642,153.63 = 389,166.01 : x
  2. Step 2: Convert to fraction form
    465,675.46/642,153.63 = 389,166.01/x
  3. Step 3: Cross multiply
    465,675.46x = 642,153.63 × 389,166.01
  4. Step 4: Simplify right side
    465,675.46x = 249,904,365,994.12
  5. Step 5: Solve for x
    x = 249,904,365,994.12/465,675.46
  6. Step 6: Final answer
    x = 536,649.21

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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.