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Finding the Fourth Proportional to 388,592.80, 583,148.40 and 178,122.40

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Solution

The fourth proportional to 388,592.80, 583,148.40 and 178,122.40 is: 267,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,592.80 : 583,148.40 = 178,122.40 : x
  2. Step 2: Convert to fraction form
    388,592.80/583,148.40 = 178,122.40/x
  3. Step 3: Cross multiply
    388,592.80x = 583,148.40 × 178,122.40
  4. Step 4: Simplify right side
    388,592.80x = 103,871,792,564.16
  5. Step 5: Solve for x
    x = 103,871,792,564.16/388,592.80
  6. Step 6: Final answer
    x = 267,302.41

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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.