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Finding the Fourth Proportional to 256,428, 384,597.36 and 69,395.76

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Solution

The fourth proportional to 256,428, 384,597.36 and 69,395.76 is: 104,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,428 : 384,597.36 = 69,395.76 : x
  2. Step 2: Convert to fraction form
    256,428/384,597.36 = 69,395.76/x
  3. Step 3: Cross multiply
    256,428x = 384,597.36 × 69,395.76
  4. Step 4: Simplify right side
    256,428x = 26,689,426,091.19
  5. Step 5: Solve for x
    x = 26,689,426,091.19/256,428
  6. Step 6: Final answer
    x = 104,081.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.