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Finding the Fourth Proportional to 305,476.08, 458,549.32 and 242,699.72

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Solution

The fourth proportional to 305,476.08, 458,549.32 and 242,699.72 is: 364,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,476.08 : 458,549.32 = 242,699.72 : x
  2. Step 2: Convert to fraction form
    305,476.08/458,549.32 = 242,699.72/x
  3. Step 3: Cross multiply
    305,476.08x = 458,549.32 × 242,699.72
  4. Step 4: Simplify right side
    305,476.08x = 111,289,791,570.19
  5. Step 5: Solve for x
    x = 111,289,791,570.19/305,476.08
  6. Step 6: Final answer
    x = 364,315.90

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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.