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Finding the Fourth Proportional to 409,634.81, 565,064.51 and 256,407.02

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Solution

The fourth proportional to 409,634.81, 565,064.51 and 256,407.02 is: 353,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,634.81 : 565,064.51 = 256,407.02 : x
  2. Step 2: Convert to fraction form
    409,634.81/565,064.51 = 256,407.02/x
  3. Step 3: Cross multiply
    409,634.81x = 565,064.51 × 256,407.02
  4. Step 4: Simplify right side
    409,634.81x = 144,886,507,247.49
  5. Step 5: Solve for x
    x = 144,886,507,247.49/409,634.81
  6. Step 6: Final answer
    x = 353,696.76

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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.