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Finding the Fourth Proportional to 301,718.78, 452,528.42 and 99,317.50

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Solution

The fourth proportional to 301,718.78, 452,528.42 and 99,317.50 is: 148,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,718.78 : 452,528.42 = 99,317.50 : x
  2. Step 2: Convert to fraction form
    301,718.78/452,528.42 = 99,317.50/x
  3. Step 3: Cross multiply
    301,718.78x = 452,528.42 × 99,317.50
  4. Step 4: Simplify right side
    301,718.78x = 44,943,991,353.35
  5. Step 5: Solve for x
    x = 44,943,991,353.35/301,718.78
  6. Step 6: Final answer
    x = 148,959.87

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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.