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Finding the Fourth Proportional to 448,320, 618,681.60 and 269,472

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Solution

The fourth proportional to 448,320, 618,681.60 and 269,472 is: 371,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,320 : 618,681.60 = 269,472 : x
  2. Step 2: Convert to fraction form
    448,320/618,681.60 = 269,472/x
  3. Step 3: Cross multiply
    448,320x = 618,681.60 × 269,472
  4. Step 4: Simplify right side
    448,320x = 166,717,368,115.20
  5. Step 5: Solve for x
    x = 166,717,368,115.20/448,320
  6. Step 6: Final answer
    x = 371,871.36

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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.