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Finding the Fourth Proportional to 553,732.93, 830,640.12 and 198,750.03

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Solution

The fourth proportional to 553,732.93, 830,640.12 and 198,750.03 is: 298,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,732.93 : 830,640.12 = 198,750.03 : x
  2. Step 2: Convert to fraction form
    553,732.93/830,640.12 = 198,750.03/x
  3. Step 3: Cross multiply
    553,732.93x = 830,640.12 × 198,750.03
  4. Step 4: Simplify right side
    553,732.93x = 165,089,748,769.20
  5. Step 5: Solve for x
    x = 165,089,748,769.20/553,732.93
  6. Step 6: Final answer
    x = 298,139.66

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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.