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Finding the Fourth Proportional to 314,124.78, 471,181.08 and 89,486.67

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Solution

The fourth proportional to 314,124.78, 471,181.08 and 89,486.67 is: 134,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,124.78 : 471,181.08 = 89,486.67 : x
  2. Step 2: Convert to fraction form
    314,124.78/471,181.08 = 89,486.67/x
  3. Step 3: Cross multiply
    314,124.78x = 471,181.08 × 89,486.67
  4. Step 4: Simplify right side
    314,124.78x = 42,164,427,918.71
  5. Step 5: Solve for x
    x = 42,164,427,918.71/314,124.78
  6. Step 6: Final answer
    x = 134,228.28

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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.