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Finding the Fourth Proportional to 564,316.67, 778,779.46 and 309,676.97

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Solution

The fourth proportional to 564,316.67, 778,779.46 and 309,676.97 is: 427,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,316.67 : 778,779.46 = 309,676.97 : x
  2. Step 2: Convert to fraction form
    564,316.67/778,779.46 = 309,676.97/x
  3. Step 3: Cross multiply
    564,316.67x = 778,779.46 × 309,676.97
  4. Step 4: Simplify right side
    564,316.67x = 241,170,065,805.08
  5. Step 5: Solve for x
    x = 241,170,065,805.08/564,316.67
  6. Step 6: Final answer
    x = 427,366.54

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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.