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Finding the Fourth Proportional to 516,666.58, 775,014.54 and 142,689.58

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Solution

The fourth proportional to 516,666.58, 775,014.54 and 142,689.58 is: 214,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,666.58 : 775,014.54 = 142,689.58 : x
  2. Step 2: Convert to fraction form
    516,666.58/775,014.54 = 142,689.58/x
  3. Step 3: Cross multiply
    516,666.58x = 775,014.54 × 142,689.58
  4. Step 4: Simplify right side
    516,666.58x = 110,586,499,206.49
  5. Step 5: Solve for x
    x = 110,586,499,206.49/516,666.58
  6. Step 6: Final answer
    x = 214,038.42

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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.