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Finding the Fourth Proportional to 368,830.80, 509,013.72 and 207,703.44

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Solution

The fourth proportional to 368,830.80, 509,013.72 and 207,703.44 is: 286,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,830.80 : 509,013.72 = 207,703.44 : x
  2. Step 2: Convert to fraction form
    368,830.80/509,013.72 = 207,703.44/x
  3. Step 3: Cross multiply
    368,830.80x = 509,013.72 × 207,703.44
  4. Step 4: Simplify right side
    368,830.80x = 105,723,900,651.20
  5. Step 5: Solve for x
    x = 105,723,900,651.20/368,830.80
  6. Step 6: Final answer
    x = 286,646.07

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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.