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Finding the Fourth Proportional to 502,055.40, 753,078.30 and 122,977.80

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Solution

The fourth proportional to 502,055.40, 753,078.30 and 122,977.80 is: 184,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,055.40 : 753,078.30 = 122,977.80 : x
  2. Step 2: Convert to fraction form
    502,055.40/753,078.30 = 122,977.80/x
  3. Step 3: Cross multiply
    502,055.40x = 753,078.30 × 122,977.80
  4. Step 4: Simplify right side
    502,055.40x = 92,611,912,561.74
  5. Step 5: Solve for x
    x = 92,611,912,561.74/502,055.40
  6. Step 6: Final answer
    x = 184,465.52

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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.