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Finding the Fourth Proportional to 650,142.36, 975,406.74 and 313,085.58

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Solution

The fourth proportional to 650,142.36, 975,406.74 and 313,085.58 is: 469,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,142.36 : 975,406.74 = 313,085.58 : x
  2. Step 2: Convert to fraction form
    650,142.36/975,406.74 = 313,085.58/x
  3. Step 3: Cross multiply
    650,142.36x = 975,406.74 × 313,085.58
  4. Step 4: Simplify right side
    650,142.36x = 305,385,784,928.81
  5. Step 5: Solve for x
    x = 305,385,784,928.81/650,142.36
  6. Step 6: Final answer
    x = 469,721.41

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1.5x scale

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.