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Finding the Fourth Proportional to 802,648.07, 1,107,612 and 458,416.31

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Solution

The fourth proportional to 802,648.07, 1,107,612 and 458,416.31 is: 632,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,648.07 : 1,107,612 = 458,416.31 : x
  2. Step 2: Convert to fraction form
    802,648.07/1,107,612 = 458,416.31/x
  3. Step 3: Cross multiply
    802,648.07x = 1,107,612 × 458,416.31
  4. Step 4: Simplify right side
    802,648.07x = 507,747,400,413.66
  5. Step 5: Solve for x
    x = 507,747,400,413.66/802,648.07
  6. Step 6: Final answer
    x = 632,590.33

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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.