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Finding the Fourth Proportional to 415,038.40, 622,557.60 and 257,574.40

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Solution

The fourth proportional to 415,038.40, 622,557.60 and 257,574.40 is: 386,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,038.40 : 622,557.60 = 257,574.40 : x
  2. Step 2: Convert to fraction form
    415,038.40/622,557.60 = 257,574.40/x
  3. Step 3: Cross multiply
    415,038.40x = 622,557.60 × 257,574.40
  4. Step 4: Simplify right side
    415,038.40x = 160,354,900,285.44
  5. Step 5: Solve for x
    x = 160,354,900,285.44/415,038.40
  6. Step 6: Final answer
    x = 386,361.60

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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.