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Finding the Fourth Proportional to 570,946.40, 856,419.60 and 171,648.80

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Solution

The fourth proportional to 570,946.40, 856,419.60 and 171,648.80 is: 257,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,946.40 : 856,419.60 = 171,648.80 : x
  2. Step 2: Convert to fraction form
    570,946.40/856,419.60 = 171,648.80/x
  3. Step 3: Cross multiply
    570,946.40x = 856,419.60 × 171,648.80
  4. Step 4: Simplify right side
    570,946.40x = 147,003,396,636.48
  5. Step 5: Solve for x
    x = 147,003,396,636.48/570,946.40
  6. Step 6: Final answer
    x = 257,473.20

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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.