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Finding the Fourth Proportional to 611,409.12, 916,763.75 and 256,123.68

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Solution

The fourth proportional to 611,409.12, 916,763.75 and 256,123.68 is: 384,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,409.12 : 916,763.75 = 256,123.68 : x
  2. Step 2: Convert to fraction form
    611,409.12/916,763.75 = 256,123.68/x
  3. Step 3: Cross multiply
    611,409.12x = 916,763.75 × 256,123.68
  4. Step 4: Simplify right side
    611,409.12x = 234,804,905,340.60
  5. Step 5: Solve for x
    x = 234,804,905,340.60/611,409.12
  6. Step 6: Final answer
    x = 384,038.93

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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.