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Finding the Fourth Proportional to 356,810.16, 492,393.96 and 205,903.92

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Solution

The fourth proportional to 356,810.16, 492,393.96 and 205,903.92 is: 284,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,810.16 : 492,393.96 = 205,903.92 : x
  2. Step 2: Convert to fraction form
    356,810.16/492,393.96 = 205,903.92/x
  3. Step 3: Cross multiply
    356,810.16x = 492,393.96 × 205,903.92
  4. Step 4: Simplify right side
    356,810.16x = 101,385,846,548.32
  5. Step 5: Solve for x
    x = 101,385,846,548.32/356,810.16
  6. Step 6: Final answer
    x = 284,145.07

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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.