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Finding the Fourth Proportional to 369,301.38, 509,629.77 and 208,156.74

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Solution

The fourth proportional to 369,301.38, 509,629.77 and 208,156.74 is: 287,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,301.38 : 509,629.77 = 208,156.74 : x
  2. Step 2: Convert to fraction form
    369,301.38/509,629.77 = 208,156.74/x
  3. Step 3: Cross multiply
    369,301.38x = 509,629.77 × 208,156.74
  4. Step 4: Simplify right side
    369,301.38x = 106,082,871,530.15
  5. Step 5: Solve for x
    x = 106,082,871,530.15/369,301.38
  6. Step 6: Final answer
    x = 287,252.84

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1.5x scale

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.