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Finding the Fourth Proportional to 657,155.64, 985,733.76 and 277,978.08

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Solution

The fourth proportional to 657,155.64, 985,733.76 and 277,978.08 is: 416,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,155.64 : 985,733.76 = 277,978.08 : x
  2. Step 2: Convert to fraction form
    657,155.64/985,733.76 = 277,978.08/x
  3. Step 3: Cross multiply
    657,155.64x = 985,733.76 × 277,978.08
  4. Step 4: Simplify right side
    657,155.64x = 274,012,377,995.98
  5. Step 5: Solve for x
    x = 274,012,377,995.98/657,155.64
  6. Step 6: Final answer
    x = 416,967.25

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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.