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Finding the Fourth Proportional to 256,604.74, 384,907.59 and 98,907.46

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Solution

The fourth proportional to 256,604.74, 384,907.59 and 98,907.46 is: 148,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,604.74 : 384,907.59 = 98,907.46 : x
  2. Step 2: Convert to fraction form
    256,604.74/384,907.59 = 98,907.46/x
  3. Step 3: Cross multiply
    256,604.74x = 384,907.59 × 98,907.46
  4. Step 4: Simplify right side
    256,604.74x = 38,070,232,061.62
  5. Step 5: Solve for x
    x = 38,070,232,061.62/256,604.74
  6. Step 6: Final answer
    x = 148,361.38

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1.5x scale

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.