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Finding the Fourth Proportional to 655,779.89, 904,978.30 and 380,191.46

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Solution

The fourth proportional to 655,779.89, 904,978.30 and 380,191.46 is: 524,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,779.89 : 904,978.30 = 380,191.46 : x
  2. Step 2: Convert to fraction form
    655,779.89/904,978.30 = 380,191.46/x
  3. Step 3: Cross multiply
    655,779.89x = 904,978.30 × 380,191.46
  4. Step 4: Simplify right side
    655,779.89x = 344,065,022,457.29
  5. Step 5: Solve for x
    x = 344,065,022,457.29/655,779.89
  6. Step 6: Final answer
    x = 524,665.40

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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.