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Finding the Fourth Proportional to 564,779.12, 779,404.72 and 310,154

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Solution

The fourth proportional to 564,779.12, 779,404.72 and 310,154 is: 428,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,779.12 : 779,404.72 = 310,154 : x
  2. Step 2: Convert to fraction form
    564,779.12/779,404.72 = 310,154/x
  3. Step 3: Cross multiply
    564,779.12x = 779,404.72 × 310,154
  4. Step 4: Simplify right side
    564,779.12x = 241,735,491,526.88
  5. Step 5: Solve for x
    x = 241,735,491,526.88/564,779.12
  6. Step 6: Final answer
    x = 428,017.76

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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.