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Finding the Fourth Proportional to 516,739.50, 775,123.74 and 142,762.50

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Solution

The fourth proportional to 516,739.50, 775,123.74 and 142,762.50 is: 214,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,739.50 : 775,123.74 = 142,762.50 : x
  2. Step 2: Convert to fraction form
    516,739.50/775,123.74 = 142,762.50/x
  3. Step 3: Cross multiply
    516,739.50x = 775,123.74 × 142,762.50
  4. Step 4: Simplify right side
    516,739.50x = 110,658,602,931.75
  5. Step 5: Solve for x
    x = 110,658,602,931.75/516,739.50
  6. Step 6: Final answer
    x = 214,147.75

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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.