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Finding the Fourth Proportional to 575,078.40, 793,601.28 and 320,428.80

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Solution

The fourth proportional to 575,078.40, 793,601.28 and 320,428.80 is: 442,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,078.40 : 793,601.28 = 320,428.80 : x
  2. Step 2: Convert to fraction form
    575,078.40/793,601.28 = 320,428.80/x
  3. Step 3: Cross multiply
    575,078.40x = 793,601.28 × 320,428.80
  4. Step 4: Simplify right side
    575,078.40x = 254,292,705,828.86
  5. Step 5: Solve for x
    x = 254,292,705,828.86/575,078.40
  6. Step 6: Final answer
    x = 442,187.89

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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.