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Finding the Fourth Proportional to 708,835.68, 978,357.42 and 467,161.20

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Solution

The fourth proportional to 708,835.68, 978,357.42 and 467,161.20 is: 644,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,835.68 : 978,357.42 = 467,161.20 : x
  2. Step 2: Convert to fraction form
    708,835.68/978,357.42 = 467,161.20/x
  3. Step 3: Cross multiply
    708,835.68x = 978,357.42 × 467,161.20
  4. Step 4: Simplify right side
    708,835.68x = 457,050,626,356.10
  5. Step 5: Solve for x
    x = 457,050,626,356.10/708,835.68
  6. Step 6: Final answer
    x = 644,790.66

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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.