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Finding the Fourth Proportional to 295,274.70, 442,912.05 and 272,465.10

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Solution

The fourth proportional to 295,274.70, 442,912.05 and 272,465.10 is: 408,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,274.70 : 442,912.05 = 272,465.10 : x
  2. Step 2: Convert to fraction form
    295,274.70/442,912.05 = 272,465.10/x
  3. Step 3: Cross multiply
    295,274.70x = 442,912.05 × 272,465.10
  4. Step 4: Simplify right side
    295,274.70x = 120,678,075,994.46
  5. Step 5: Solve for x
    x = 120,678,075,994.46/295,274.70
  6. Step 6: Final answer
    x = 408,697.65

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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.