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Finding the Fourth Proportional to 501,740.72, 692,366.04 and 286,889.84

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Solution

The fourth proportional to 501,740.72, 692,366.04 and 286,889.84 is: 395,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,740.72 : 692,366.04 = 286,889.84 : x
  2. Step 2: Convert to fraction form
    501,740.72/692,366.04 = 286,889.84/x
  3. Step 3: Cross multiply
    501,740.72x = 692,366.04 × 286,889.84
  4. Step 4: Simplify right side
    501,740.72x = 198,632,782,437.03
  5. Step 5: Solve for x
    x = 198,632,782,437.03/501,740.72
  6. Step 6: Final answer
    x = 395,887.31

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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.