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Finding the Fourth Proportional to 516,646.64, 774,968.76 and 142,668.56

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Solution

The fourth proportional to 516,646.64, 774,968.76 and 142,668.56 is: 214,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,646.64 : 774,968.76 = 142,668.56 : x
  2. Step 2: Convert to fraction form
    516,646.64/774,968.76 = 142,668.56/x
  3. Step 3: Cross multiply
    516,646.64x = 774,968.76 × 142,668.56
  4. Step 4: Simplify right side
    516,646.64x = 110,563,677,034.19
  5. Step 5: Solve for x
    x = 110,563,677,034.19/516,646.64
  6. Step 6: Final answer
    x = 214,002.51

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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.