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Finding the Fourth Proportional to 660,893.83, 991,362.29 and 314,602.20

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Solution

The fourth proportional to 660,893.83, 991,362.29 and 314,602.20 is: 471,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,893.83 : 991,362.29 = 314,602.20 : x
  2. Step 2: Convert to fraction form
    660,893.83/991,362.29 = 314,602.20/x
  3. Step 3: Cross multiply
    660,893.83x = 991,362.29 × 314,602.20
  4. Step 4: Simplify right side
    660,893.83x = 311,884,755,858.03
  5. Step 5: Solve for x
    x = 311,884,755,858.03/660,893.83
  6. Step 6: Final answer
    x = 471,913.56

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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.