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Finding the Fourth Proportional to 228,419.51, 315,362.32 and 146,784.26

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Solution

The fourth proportional to 228,419.51, 315,362.32 and 146,784.26 is: 202,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,419.51 : 315,362.32 = 146,784.26 : x
  2. Step 2: Convert to fraction form
    228,419.51/315,362.32 = 146,784.26/x
  3. Step 3: Cross multiply
    228,419.51x = 315,362.32 × 146,784.26
  4. Step 4: Simplify right side
    228,419.51x = 46,290,226,670.08
  5. Step 5: Solve for x
    x = 46,290,226,670.08/228,419.51
  6. Step 6: Final answer
    x = 202,654.44

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1.5x scale

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.