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Finding the Fourth Proportional to 553,124.18, 763,325.72 and 311,415.47

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Solution

The fourth proportional to 553,124.18, 763,325.72 and 311,415.47 is: 429,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,124.18 : 763,325.72 = 311,415.47 : x
  2. Step 2: Convert to fraction form
    553,124.18/763,325.72 = 311,415.47/x
  3. Step 3: Cross multiply
    553,124.18x = 763,325.72 × 311,415.47
  4. Step 4: Simplify right side
    553,124.18x = 237,711,432,483.18
  5. Step 5: Solve for x
    x = 237,711,432,483.18/553,124.18
  6. Step 6: Final answer
    x = 429,761.42

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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.