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Finding the Fourth Proportional to 305,357.20, 458,035.80 and 256,368.40

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Solution

The fourth proportional to 305,357.20, 458,035.80 and 256,368.40 is: 384,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,357.20 : 458,035.80 = 256,368.40 : x
  2. Step 2: Convert to fraction form
    305,357.20/458,035.80 = 256,368.40/x
  3. Step 3: Cross multiply
    305,357.20x = 458,035.80 × 256,368.40
  4. Step 4: Simplify right side
    305,357.20x = 117,425,905,188.72
  5. Step 5: Solve for x
    x = 117,425,905,188.72/305,357.20
  6. Step 6: Final answer
    x = 384,552.60

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1.5x scale

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.