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Finding the Fourth Proportional to 314,898.40, 472,298.90 and 115,172.08

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Solution

The fourth proportional to 314,898.40, 472,298.90 and 115,172.08 is: 172,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,898.40 : 472,298.90 = 115,172.08 : x
  2. Step 2: Convert to fraction form
    314,898.40/472,298.90 = 115,172.08/x
  3. Step 3: Cross multiply
    314,898.40x = 472,298.90 × 115,172.08
  4. Step 4: Simplify right side
    314,898.40x = 54,395,646,694.71
  5. Step 5: Solve for x
    x = 54,395,646,694.71/314,898.40
  6. Step 6: Final answer
    x = 172,740.31

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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.