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Finding the Fourth Proportional to 553,731.93, 830,638.62 and 198,749.03

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Solution

The fourth proportional to 553,731.93, 830,638.62 and 198,749.03 is: 298,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,731.93 : 830,638.62 = 198,749.03 : x
  2. Step 2: Convert to fraction form
    553,731.93/830,638.62 = 198,749.03/x
  3. Step 3: Cross multiply
    553,731.93x = 830,638.62 × 198,749.03
  4. Step 4: Simplify right side
    553,731.93x = 165,088,615,852.35
  5. Step 5: Solve for x
    x = 165,088,615,852.35/553,731.93
  6. Step 6: Final answer
    x = 298,138.15

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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.