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Finding the Fourth Proportional to 553,137.40, 763,344.06 and 311,428.86

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Solution

The fourth proportional to 553,137.40, 763,344.06 and 311,428.86 is: 429,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,137.40 : 763,344.06 = 311,428.86 : x
  2. Step 2: Convert to fraction form
    553,137.40/763,344.06 = 311,428.86/x
  3. Step 3: Cross multiply
    553,137.40x = 763,344.06 × 311,428.86
  4. Step 4: Simplify right side
    553,137.40x = 237,727,370,393.57
  5. Step 5: Solve for x
    x = 237,727,370,393.57/553,137.40
  6. Step 6: Final answer
    x = 429,779.96

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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.