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Finding the Fourth Proportional to 401,409.88, 602,114.84 and 120,927.16

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Solution

The fourth proportional to 401,409.88, 602,114.84 and 120,927.16 is: 181,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,409.88 : 602,114.84 = 120,927.16 : x
  2. Step 2: Convert to fraction form
    401,409.88/602,114.84 = 120,927.16/x
  3. Step 3: Cross multiply
    401,409.88x = 602,114.84 × 120,927.16
  4. Step 4: Simplify right side
    401,409.88x = 72,812,037,595.05
  5. Step 5: Solve for x
    x = 72,812,037,595.05/401,409.88
  6. Step 6: Final answer
    x = 181,390.75

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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.