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Finding the Fourth Proportional to 575,295.48, 793,908.64 and 320,641.20

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Solution

The fourth proportional to 575,295.48, 793,908.64 and 320,641.20 is: 442,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,295.48 : 793,908.64 = 320,641.20 : x
  2. Step 2: Convert to fraction form
    575,295.48/793,908.64 = 320,641.20/x
  3. Step 3: Cross multiply
    575,295.48x = 793,908.64 × 320,641.20
  4. Step 4: Simplify right side
    575,295.48x = 254,559,819,019.97
  5. Step 5: Solve for x
    x = 254,559,819,019.97/575,295.48
  6. Step 6: Final answer
    x = 442,485.35

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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.