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Finding the Fourth Proportional to 228,518.78, 315,303.72 and 146,889.68

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Solution

The fourth proportional to 228,518.78, 315,303.72 and 146,889.68 is: 202,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,518.78 : 315,303.72 = 146,889.68 : x
  2. Step 2: Convert to fraction form
    228,518.78/315,303.72 = 146,889.68/x
  3. Step 3: Cross multiply
    228,518.78x = 315,303.72 × 146,889.68
  4. Step 4: Simplify right side
    228,518.78x = 46,314,862,533.61
  5. Step 5: Solve for x
    x = 46,314,862,533.61/228,518.78
  6. Step 6: Final answer
    x = 202,674.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.