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Finding the Fourth Proportional to 689,804.40, 951,948.54 and 417,814.50

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Solution

The fourth proportional to 689,804.40, 951,948.54 and 417,814.50 is: 576,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,804.40 : 951,948.54 = 417,814.50 : x
  2. Step 2: Convert to fraction form
    689,804.40/951,948.54 = 417,814.50/x
  3. Step 3: Cross multiply
    689,804.40x = 951,948.54 × 417,814.50
  4. Step 4: Simplify right side
    689,804.40x = 397,737,903,265.83
  5. Step 5: Solve for x
    x = 397,737,903,265.83/689,804.40
  6. Step 6: Final answer
    x = 576,595.20

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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.