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Finding the Fourth Proportional to 318,302.25, 477,352.09 and 105,030.40

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Solution

The fourth proportional to 318,302.25, 477,352.09 and 105,030.40 is: 157,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,302.25 : 477,352.09 = 105,030.40 : x
  2. Step 2: Convert to fraction form
    318,302.25/477,352.09 = 105,030.40/x
  3. Step 3: Cross multiply
    318,302.25x = 477,352.09 × 105,030.40
  4. Step 4: Simplify right side
    318,302.25x = 50,136,480,953.54
  5. Step 5: Solve for x
    x = 50,136,480,953.54/318,302.25
  6. Step 6: Final answer
    x = 157,512.18

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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.