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Finding the Fourth Proportional to 553,078.28, 830,111.90 and 283,390.40

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Solution

The fourth proportional to 553,078.28, 830,111.90 and 283,390.40 is: 425,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,078.28 : 830,111.90 = 283,390.40 : x
  2. Step 2: Convert to fraction form
    553,078.28/830,111.90 = 283,390.40/x
  3. Step 3: Cross multiply
    553,078.28x = 830,111.90 × 283,390.40
  4. Step 4: Simplify right side
    553,078.28x = 235,245,743,385.76
  5. Step 5: Solve for x
    x = 235,245,743,385.76/553,078.28
  6. Step 6: Final answer
    x = 425,338.97

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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.