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Finding the Fourth Proportional to 700,054, 1,050,081 and 201,418

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Solution

The fourth proportional to 700,054, 1,050,081 and 201,418 is: 302,127

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,054 : 1,050,081 = 201,418 : x
  2. Step 2: Convert to fraction form
    700,054/1,050,081 = 201,418/x
  3. Step 3: Cross multiply
    700,054x = 1,050,081 × 201,418
  4. Step 4: Simplify right side
    700,054x = 211,505,214,858
  5. Step 5: Solve for x
    x = 211,505,214,858/700,054
  6. Step 6: Final answer
    x = 302,127

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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.