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Finding the Fourth Proportional to 516,643.83, 774,980.33 and 142,666.83

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Solution

The fourth proportional to 516,643.83, 774,980.33 and 142,666.83 is: 214,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,643.83 : 774,980.33 = 142,666.83 : x
  2. Step 2: Convert to fraction form
    516,643.83/774,980.33 = 142,666.83/x
  3. Step 3: Cross multiply
    516,643.83x = 774,980.33 × 142,666.83
  4. Step 4: Simplify right side
    516,643.83x = 110,563,986,280.12
  5. Step 5: Solve for x
    x = 110,563,986,280.12/516,643.83
  6. Step 6: Final answer
    x = 214,004.27

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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.