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Finding the Fourth Proportional to 516,071.86, 712,154.94 and 286,644.02

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Solution

The fourth proportional to 516,071.86, 712,154.94 and 286,644.02 is: 395,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,071.86 : 712,154.94 = 286,644.02 : x
  2. Step 2: Convert to fraction form
    516,071.86/712,154.94 = 286,644.02/x
  3. Step 3: Cross multiply
    516,071.86x = 712,154.94 × 286,644.02
  4. Step 4: Simplify right side
    516,071.86x = 204,134,950,228.77
  5. Step 5: Solve for x
    x = 204,134,950,228.77/516,071.86
  6. Step 6: Final answer
    x = 395,555.28

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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.