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Finding the Fourth Proportional to 506,201.40, 759,842.10 and 218,155.68

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Solution

The fourth proportional to 506,201.40, 759,842.10 and 218,155.68 is: 327,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,201.40 : 759,842.10 = 218,155.68 : x
  2. Step 2: Convert to fraction form
    506,201.40/759,842.10 = 218,155.68/x
  3. Step 3: Cross multiply
    506,201.40x = 759,842.10 × 218,155.68
  4. Step 4: Simplify right side
    506,201.40x = 165,763,870,018.13
  5. Step 5: Solve for x
    x = 165,763,870,018.13/506,201.40
  6. Step 6: Final answer
    x = 327,466.24

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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.