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Finding the Fourth Proportional to 341,390.40, 512,085.60 and 208,530.15

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Solution

The fourth proportional to 341,390.40, 512,085.60 and 208,530.15 is: 312,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,390.40 : 512,085.60 = 208,530.15 : x
  2. Step 2: Convert to fraction form
    341,390.40/512,085.60 = 208,530.15/x
  3. Step 3: Cross multiply
    341,390.40x = 512,085.60 × 208,530.15
  4. Step 4: Simplify right side
    341,390.40x = 106,785,286,980.84
  5. Step 5: Solve for x
    x = 106,785,286,980.84/341,390.40
  6. Step 6: Final answer
    x = 312,795.23

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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.