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Finding the Fourth Proportional to 312,602.82, 468,943.95 and 99,294.63

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Solution

The fourth proportional to 312,602.82, 468,943.95 and 99,294.63 is: 148,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,602.82 : 468,943.95 = 99,294.63 : x
  2. Step 2: Convert to fraction form
    312,602.82/468,943.95 = 99,294.63/x
  3. Step 3: Cross multiply
    312,602.82x = 468,943.95 × 99,294.63
  4. Step 4: Simplify right side
    312,602.82x = 46,563,616,378.34
  5. Step 5: Solve for x
    x = 46,563,616,378.34/312,602.82
  6. Step 6: Final answer
    x = 148,954.56

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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.