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Finding the Fourth Proportional to 540,103, 745,342.16 and 301,639

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Solution

The fourth proportional to 540,103, 745,342.16 and 301,639 is: 416,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,103 : 745,342.16 = 301,639 : x
  2. Step 2: Convert to fraction form
    540,103/745,342.16 = 301,639/x
  3. Step 3: Cross multiply
    540,103x = 745,342.16 × 301,639
  4. Step 4: Simplify right side
    540,103x = 224,824,263,800.24
  5. Step 5: Solve for x
    x = 224,824,263,800.24/540,103
  6. Step 6: Final answer
    x = 416,261.83

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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.