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Finding the Fourth Proportional to 368,431, 508,434.80 and 209,455

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Solution

The fourth proportional to 368,431, 508,434.80 and 209,455 is: 289,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,431 : 508,434.80 = 209,455 : x
  2. Step 2: Convert to fraction form
    368,431/508,434.80 = 209,455/x
  3. Step 3: Cross multiply
    368,431x = 508,434.80 × 209,455
  4. Step 4: Simplify right side
    368,431x = 106,494,211,034
  5. Step 5: Solve for x
    x = 106,494,211,034/368,431
  6. Step 6: Final answer
    x = 289,047.91

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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.