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Finding the Fourth Proportional to 422,100.32, 583,009.65 and 307,196.75

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Solution

The fourth proportional to 422,100.32, 583,009.65 and 307,196.75 is: 424,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,100.32 : 583,009.65 = 307,196.75 : x
  2. Step 2: Convert to fraction form
    422,100.32/583,009.65 = 307,196.75/x
  3. Step 3: Cross multiply
    422,100.32x = 583,009.65 × 307,196.75
  4. Step 4: Simplify right side
    422,100.32x = 179,098,671,156.16
  5. Step 5: Solve for x
    x = 179,098,671,156.16/422,100.32
  6. Step 6: Final answer
    x = 424,303.57

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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.