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Finding the Fourth Proportional to 475,378.40, 713,067.60 and 438,053.60

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Solution

The fourth proportional to 475,378.40, 713,067.60 and 438,053.60 is: 657,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,378.40 : 713,067.60 = 438,053.60 : x
  2. Step 2: Convert to fraction form
    475,378.40/713,067.60 = 438,053.60/x
  3. Step 3: Cross multiply
    475,378.40x = 713,067.60 × 438,053.60
  4. Step 4: Simplify right side
    475,378.40x = 312,361,829,223.36
  5. Step 5: Solve for x
    x = 312,361,829,223.36/475,378.40
  6. Step 6: Final answer
    x = 657,080.40

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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.