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Finding the Fourth Proportional to 705,790.32, 973,881 and 419,303.04

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Solution

The fourth proportional to 705,790.32, 973,881 and 419,303.04 is: 578,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,790.32 : 973,881 = 419,303.04 : x
  2. Step 2: Convert to fraction form
    705,790.32/973,881 = 419,303.04/x
  3. Step 3: Cross multiply
    705,790.32x = 973,881 × 419,303.04
  4. Step 4: Simplify right side
    705,790.32x = 408,351,263,898.24
  5. Step 5: Solve for x
    x = 408,351,263,898.24/705,790.32
  6. Step 6: Final answer
    x = 578,573.06

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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.