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Finding the Fourth Proportional to 368,848.79, 509,006.31 and 207,705.77

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Solution

The fourth proportional to 368,848.79, 509,006.31 and 207,705.77 is: 286,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,848.79 : 509,006.31 = 207,705.77 : x
  2. Step 2: Convert to fraction form
    368,848.79/509,006.31 = 207,705.77/x
  3. Step 3: Cross multiply
    368,848.79x = 509,006.31 × 207,705.77
  4. Step 4: Simplify right side
    368,848.79x = 105,723,547,553.41
  5. Step 5: Solve for x
    x = 105,723,547,553.41/368,848.79
  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.