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Finding the Fourth Proportional to 922,978.86, 1,273,703.42 and 535,830.20

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Solution

The fourth proportional to 922,978.86, 1,273,703.42 and 535,830.20 is: 739,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,978.86 : 1,273,703.42 = 535,830.20 : x
  2. Step 2: Convert to fraction form
    922,978.86/1,273,703.42 = 535,830.20/x
  3. Step 3: Cross multiply
    922,978.86x = 1,273,703.42 × 535,830.20
  4. Step 4: Simplify right side
    922,978.86x = 682,488,755,600.13
  5. Step 5: Solve for x
    x = 682,488,755,600.13/922,978.86
  6. Step 6: Final answer
    x = 739,441.37

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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.