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Finding the Fourth Proportional to 368,833.98, 509,039.40 and 207,720.53

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Solution

The fourth proportional to 368,833.98, 509,039.40 and 207,720.53 is: 286,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,833.98 : 509,039.40 = 207,720.53 : x
  2. Step 2: Convert to fraction form
    368,833.98/509,039.40 = 207,720.53/x
  3. Step 3: Cross multiply
    368,833.98x = 509,039.40 × 207,720.53
  4. Step 4: Simplify right side
    368,833.98x = 105,737,932,686.28
  5. Step 5: Solve for x
    x = 105,737,932,686.28/368,833.98
  6. Step 6: Final answer
    x = 286,681.64

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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.