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Finding the Fourth Proportional to 368,832.98, 509,038.02 and 207,719.53

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Solution

The fourth proportional to 368,832.98, 509,038.02 and 207,719.53 is: 286,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,832.98 : 509,038.02 = 207,719.53 : x
  2. Step 2: Convert to fraction form
    368,832.98/509,038.02 = 207,719.53/x
  3. Step 3: Cross multiply
    368,832.98x = 509,038.02 × 207,719.53
  4. Step 4: Simplify right side
    368,832.98x = 105,737,136,993.94
  5. Step 5: Solve for x
    x = 105,737,136,993.94/368,832.98
  6. Step 6: Final answer
    x = 286,680.26

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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.