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Finding the Fourth Proportional to 501,808.94, 692,506.63 and 284,017.61

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Solution

The fourth proportional to 501,808.94, 692,506.63 and 284,017.61 is: 391,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,808.94 : 692,506.63 = 284,017.61 : x
  2. Step 2: Convert to fraction form
    501,808.94/692,506.63 = 284,017.61/x
  3. Step 3: Cross multiply
    501,808.94x = 692,506.63 × 284,017.61
  4. Step 4: Simplify right side
    501,808.94x = 196,684,077,961.75
  5. Step 5: Solve for x
    x = 196,684,077,961.75/501,808.94
  6. Step 6: Final answer
    x = 391,950.13

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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.