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Finding the Fourth Proportional to 201,489.80, 302,453.40 and 157,312.40

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Solution

The fourth proportional to 201,489.80, 302,453.40 and 157,312.40 is: 236,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,489.80 : 302,453.40 = 157,312.40 : x
  2. Step 2: Convert to fraction form
    201,489.80/302,453.40 = 157,312.40/x
  3. Step 3: Cross multiply
    201,489.80x = 302,453.40 × 157,312.40
  4. Step 4: Simplify right side
    201,489.80x = 47,579,670,242.16
  5. Step 5: Solve for x
    x = 47,579,670,242.16/201,489.80
  6. Step 6: Final answer
    x = 236,139.35

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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.