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Finding the Fourth Proportional to 501,662.10, 692,096.61 and 286,686.84

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Solution

The fourth proportional to 501,662.10, 692,096.61 and 286,686.84 is: 395,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,662.10 : 692,096.61 = 286,686.84 : x
  2. Step 2: Convert to fraction form
    501,662.10/692,096.61 = 286,686.84/x
  3. Step 3: Cross multiply
    501,662.10x = 692,096.61 × 286,686.84
  4. Step 4: Simplify right side
    501,662.10x = 198,414,990,095.61
  5. Step 5: Solve for x
    x = 198,414,990,095.61/501,662.10
  6. Step 6: Final answer
    x = 395,515.21

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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.