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Finding the Fourth Proportional to 553,570.10, 830,355.15 and 419,725.70

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Solution

The fourth proportional to 553,570.10, 830,355.15 and 419,725.70 is: 629,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,570.10 : 830,355.15 = 419,725.70 : x
  2. Step 2: Convert to fraction form
    553,570.10/830,355.15 = 419,725.70/x
  3. Step 3: Cross multiply
    553,570.10x = 830,355.15 × 419,725.70
  4. Step 4: Simplify right side
    553,570.10x = 348,521,396,582.36
  5. Step 5: Solve for x
    x = 348,521,396,582.36/553,570.10
  6. Step 6: Final answer
    x = 629,588.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.