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Finding the Fourth Proportional to 368,437, 508,443.06 and 209,461

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Solution

The fourth proportional to 368,437, 508,443.06 and 209,461 is: 289,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,437 : 508,443.06 = 209,461 : x
  2. Step 2: Convert to fraction form
    368,437/508,443.06 = 209,461/x
  3. Step 3: Cross multiply
    368,437x = 508,443.06 × 209,461
  4. Step 4: Simplify right side
    368,437x = 106,498,991,790.66
  5. Step 5: Solve for x
    x = 106,498,991,790.66/368,437
  6. Step 6: Final answer
    x = 289,056.18

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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.