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Finding the Fourth Proportional to 540,408.84, 745,767.12 and 295,393.93

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Solution

The fourth proportional to 540,408.84, 745,767.12 and 295,393.93 is: 407,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,408.84 : 745,767.12 = 295,393.93 : x
  2. Step 2: Convert to fraction form
    540,408.84/745,767.12 = 295,393.93/x
  3. Step 3: Cross multiply
    540,408.84x = 745,767.12 × 295,393.93
  4. Step 4: Simplify right side
    540,408.84x = 220,295,079,684.89
  5. Step 5: Solve for x
    x = 220,295,079,684.89/540,408.84
  6. Step 6: Final answer
    x = 407,645.22

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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.