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Finding the Fourth Proportional to 496,047, 744,070.50 and 122,070

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Solution

The fourth proportional to 496,047, 744,070.50 and 122,070 is: 183,105

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,047 : 744,070.50 = 122,070 : x
  2. Step 2: Convert to fraction form
    496,047/744,070.50 = 122,070/x
  3. Step 3: Cross multiply
    496,047x = 744,070.50 × 122,070
  4. Step 4: Simplify right side
    496,047x = 90,828,685,935
  5. Step 5: Solve for x
    x = 90,828,685,935/496,047
  6. Step 6: Final answer
    x = 183,105

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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.