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Finding the Fourth Proportional to 705,145.08, 973,901.40 and 475,305.96

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Solution

The fourth proportional to 705,145.08, 973,901.40 and 475,305.96 is: 656,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,145.08 : 973,901.40 = 475,305.96 : x
  2. Step 2: Convert to fraction form
    705,145.08/973,901.40 = 475,305.96/x
  3. Step 3: Cross multiply
    705,145.08x = 973,901.40 × 475,305.96
  4. Step 4: Simplify right side
    705,145.08x = 462,901,139,872.34
  5. Step 5: Solve for x
    x = 462,901,139,872.34/705,145.08
  6. Step 6: Final answer
    x = 656,462.27

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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.