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Finding the Fourth Proportional to 456,494.40, 684,741.60 and 438,123.60

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Solution

The fourth proportional to 456,494.40, 684,741.60 and 438,123.60 is: 657,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,494.40 : 684,741.60 = 438,123.60 : x
  2. Step 2: Convert to fraction form
    456,494.40/684,741.60 = 438,123.60/x
  3. Step 3: Cross multiply
    456,494.40x = 684,741.60 × 438,123.60
  4. Step 4: Simplify right side
    456,494.40x = 300,001,454,861.76
  5. Step 5: Solve for x
    x = 300,001,454,861.76/456,494.40
  6. Step 6: Final answer
    x = 657,185.40

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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.