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Finding the Fourth Proportional to 357,011.78, 535,255.23 and 170,154.50

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Solution

The fourth proportional to 357,011.78, 535,255.23 and 170,154.50 is: 255,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,011.78 : 535,255.23 = 170,154.50 : x
  2. Step 2: Convert to fraction form
    357,011.78/535,255.23 = 170,154.50/x
  3. Step 3: Cross multiply
    357,011.78x = 535,255.23 × 170,154.50
  4. Step 4: Simplify right side
    357,011.78x = 91,076,087,371.17
  5. Step 5: Solve for x
    x = 91,076,087,371.17/357,011.78
  6. Step 6: Final answer
    x = 255,106.67

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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.