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Finding the Fourth Proportional to 657,495.90, 986,342.40 and 278,415.90

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Solution

The fourth proportional to 657,495.90, 986,342.40 and 278,415.90 is: 417,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,495.90 : 986,342.40 = 278,415.90 : x
  2. Step 2: Convert to fraction form
    657,495.90/986,342.40 = 278,415.90/x
  3. Step 3: Cross multiply
    657,495.90x = 986,342.40 × 278,415.90
  4. Step 4: Simplify right side
    657,495.90x = 274,613,407,004.16
  5. Step 5: Solve for x
    x = 274,613,407,004.16/657,495.90
  6. Step 6: Final answer
    x = 417,665.58

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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.