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Finding the Fourth Proportional to 368,848.80, 509,006.31 and 207,705.78

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Solution

The fourth proportional to 368,848.80, 509,006.31 and 207,705.78 is: 286,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,848.80 : 509,006.31 = 207,705.78 : x
  2. Step 2: Convert to fraction form
    368,848.80/509,006.31 = 207,705.78/x
  3. Step 3: Cross multiply
    368,848.80x = 509,006.31 × 207,705.78
  4. Step 4: Simplify right side
    368,848.80x = 105,723,552,643.47
  5. Step 5: Solve for x
    x = 105,723,552,643.47/368,848.80
  6. Step 6: Final answer
    x = 286,631.14

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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.