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Finding the Fourth Proportional to 315,475.74, 435,357.51 and 202,298.94

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Solution

The fourth proportional to 315,475.74, 435,357.51 and 202,298.94 is: 279,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,475.74 : 435,357.51 = 202,298.94 : x
  2. Step 2: Convert to fraction form
    315,475.74/435,357.51 = 202,298.94/x
  3. Step 3: Cross multiply
    315,475.74x = 435,357.51 × 202,298.94
  4. Step 4: Simplify right side
    315,475.74x = 88,072,362,794.04
  5. Step 5: Solve for x
    x = 88,072,362,794.04/315,475.74
  6. Step 6: Final answer
    x = 279,173.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.