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Finding the Fourth Proportional to 540,998.61, 746,633.55 and 311,564.49

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Solution

The fourth proportional to 540,998.61, 746,633.55 and 311,564.49 is: 429,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,998.61 : 746,633.55 = 311,564.49 : x
  2. Step 2: Convert to fraction form
    540,998.61/746,633.55 = 311,564.49/x
  3. Step 3: Cross multiply
    540,998.61x = 746,633.55 × 311,564.49
  4. Step 4: Simplify right side
    540,998.61x = 232,624,501,222.64
  5. Step 5: Solve for x
    x = 232,624,501,222.64/540,998.61
  6. Step 6: Final answer
    x = 429,990.94

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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.