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Finding the Fourth Proportional to 314,032.26, 470,977.64 and 89,387.72

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Solution

The fourth proportional to 314,032.26, 470,977.64 and 89,387.72 is: 134,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,032.26 : 470,977.64 = 89,387.72 : x
  2. Step 2: Convert to fraction form
    314,032.26/470,977.64 = 89,387.72/x
  3. Step 3: Cross multiply
    314,032.26x = 470,977.64 × 89,387.72
  4. Step 4: Simplify right side
    314,032.26x = 42,099,617,410.58
  5. Step 5: Solve for x
    x = 42,099,617,410.58/314,032.26
  6. Step 6: Final answer
    x = 134,061.44

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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.