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Finding the Fourth Proportional to 575,438.40, 864,064.80 and 338,961.60

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Solution

The fourth proportional to 575,438.40, 864,064.80 and 338,961.60 is: 508,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,438.40 : 864,064.80 = 338,961.60 : x
  2. Step 2: Convert to fraction form
    575,438.40/864,064.80 = 338,961.60/x
  3. Step 3: Cross multiply
    575,438.40x = 864,064.80 × 338,961.60
  4. Step 4: Simplify right side
    575,438.40x = 292,884,787,111.68
  5. Step 5: Solve for x
    x = 292,884,787,111.68/575,438.40
  6. Step 6: Final answer
    x = 508,976.79

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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.