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Finding the Fourth Proportional to 315,284.60, 435,092.75 and 224,798.21

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Solution

The fourth proportional to 315,284.60, 435,092.75 and 224,798.21 is: 310,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,284.60 : 435,092.75 = 224,798.21 : x
  2. Step 2: Convert to fraction form
    315,284.60/435,092.75 = 224,798.21/x
  3. Step 3: Cross multiply
    315,284.60x = 435,092.75 × 224,798.21
  4. Step 4: Simplify right side
    315,284.60x = 97,808,071,383.98
  5. Step 5: Solve for x
    x = 97,808,071,383.98/315,284.60
  6. Step 6: Final answer
    x = 310,221.53

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1.5x scale

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.