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Finding the Fourth Proportional to 389,432.40, 583,711.20 and 164,754.60

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Solution

The fourth proportional to 389,432.40, 583,711.20 and 164,754.60 is: 246,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,432.40 : 583,711.20 = 164,754.60 : x
  2. Step 2: Convert to fraction form
    389,432.40/583,711.20 = 164,754.60/x
  3. Step 3: Cross multiply
    389,432.40x = 583,711.20 × 164,754.60
  4. Step 4: Simplify right side
    389,432.40x = 96,169,105,271.52
  5. Step 5: Solve for x
    x = 96,169,105,271.52/389,432.40
  6. Step 6: Final answer
    x = 246,946.85

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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.