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Finding the Fourth Proportional to 448,304.70, 618,697.55 and 257,355

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Solution

The fourth proportional to 448,304.70, 618,697.55 and 257,355 is: 355,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,304.70 : 618,697.55 = 257,355 : x
  2. Step 2: Convert to fraction form
    448,304.70/618,697.55 = 257,355/x
  3. Step 3: Cross multiply
    448,304.70x = 618,697.55 × 257,355
  4. Step 4: Simplify right side
    448,304.70x = 159,224,907,980.25
  5. Step 5: Solve for x
    x = 159,224,907,980.25/448,304.70
  6. Step 6: Final answer
    x = 355,171.18

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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.