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Finding the Fourth Proportional to 570,156.88, 786,763.09 and 340,668.48

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Solution

The fourth proportional to 570,156.88, 786,763.09 and 340,668.48 is: 470,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,156.88 : 786,763.09 = 340,668.48 : x
  2. Step 2: Convert to fraction form
    570,156.88/786,763.09 = 340,668.48/x
  3. Step 3: Cross multiply
    570,156.88x = 786,763.09 × 340,668.48
  4. Step 4: Simplify right side
    570,156.88x = 268,025,385,990.40
  5. Step 5: Solve for x
    x = 268,025,385,990.40/570,156.88
  6. Step 6: Final answer
    x = 470,090.59

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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.