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Finding the Fourth Proportional to 546,904.47, 820,438.74 and 191,855.94

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Solution

The fourth proportional to 546,904.47, 820,438.74 and 191,855.94 is: 287,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,904.47 : 820,438.74 = 191,855.94 : x
  2. Step 2: Convert to fraction form
    546,904.47/820,438.74 = 191,855.94/x
  3. Step 3: Cross multiply
    546,904.47x = 820,438.74 × 191,855.94
  4. Step 4: Simplify right side
    546,904.47x = 157,406,045,675.12
  5. Step 5: Solve for x
    x = 157,406,045,675.12/546,904.47
  6. Step 6: Final answer
    x = 287,812.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.