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Finding the Fourth Proportional to 570,729.45, 856,225.40 and 171,377.78

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Solution

The fourth proportional to 570,729.45, 856,225.40 and 171,377.78 is: 257,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,729.45 : 856,225.40 = 171,377.78 : x
  2. Step 2: Convert to fraction form
    570,729.45/856,225.40 = 171,377.78/x
  3. Step 3: Cross multiply
    570,729.45x = 856,225.40 × 171,377.78
  4. Step 4: Simplify right side
    570,729.45x = 146,738,009,515.29
  5. Step 5: Solve for x
    x = 146,738,009,515.29/570,729.45
  6. Step 6: Final answer
    x = 257,106.08

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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.