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Finding the Fourth Proportional to 570,308.50, 856,569.93 and 419,954.98

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Solution

The fourth proportional to 570,308.50, 856,569.93 and 419,954.98 is: 630,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,308.50 : 856,569.93 = 419,954.98 : x
  2. Step 2: Convert to fraction form
    570,308.50/856,569.93 = 419,954.98/x
  3. Step 3: Cross multiply
    570,308.50x = 856,569.93 × 419,954.98
  4. Step 4: Simplify right side
    570,308.50x = 359,720,807,821.75
  5. Step 5: Solve for x
    x = 359,720,807,821.75/570,308.50
  6. Step 6: Final answer
    x = 630,747.76

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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.