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Finding the Fourth Proportional to 650,878.14, 972,358.92 and 421,303.46

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Solution

The fourth proportional to 650,878.14, 972,358.92 and 421,303.46 is: 629,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,878.14 : 972,358.92 = 421,303.46 : x
  2. Step 2: Convert to fraction form
    650,878.14/972,358.92 = 421,303.46/x
  3. Step 3: Cross multiply
    650,878.14x = 972,358.92 × 421,303.46
  4. Step 4: Simplify right side
    650,878.14x = 409,658,177,357.86
  5. Step 5: Solve for x
    x = 409,658,177,357.86/650,878.14
  6. Step 6: Final answer
    x = 629,393.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.