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Finding the Fourth Proportional to 407,121.70, 610,682.55 and 302,145.70

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Solution

The fourth proportional to 407,121.70, 610,682.55 and 302,145.70 is: 453,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,121.70 : 610,682.55 = 302,145.70 : x
  2. Step 2: Convert to fraction form
    407,121.70/610,682.55 = 302,145.70/x
  3. Step 3: Cross multiply
    407,121.70x = 610,682.55 × 302,145.70
  4. Step 4: Simplify right side
    407,121.70x = 184,515,106,547.54
  5. Step 5: Solve for x
    x = 184,515,106,547.54/407,121.70
  6. Step 6: Final answer
    x = 453,218.55

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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.