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Finding the Fourth Proportional to 314,705.28, 472,127.04 and 93,072

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Solution

The fourth proportional to 314,705.28, 472,127.04 and 93,072 is: 139,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,705.28 : 472,127.04 = 93,072 : x
  2. Step 2: Convert to fraction form
    314,705.28/472,127.04 = 93,072/x
  3. Step 3: Cross multiply
    314,705.28x = 472,127.04 × 93,072
  4. Step 4: Simplify right side
    314,705.28x = 43,941,807,866.88
  5. Step 5: Solve for x
    x = 43,941,807,866.88/314,705.28
  6. Step 6: Final answer
    x = 139,628.44

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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.