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Finding the Fourth Proportional to 429,751.50, 644,627.28 and 134,263.50

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Solution

The fourth proportional to 429,751.50, 644,627.28 and 134,263.50 is: 201,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,751.50 : 644,627.28 = 134,263.50 : x
  2. Step 2: Convert to fraction form
    429,751.50/644,627.28 = 134,263.50/x
  3. Step 3: Cross multiply
    429,751.50x = 644,627.28 × 134,263.50
  4. Step 4: Simplify right side
    429,751.50x = 86,549,914,808.28
  5. Step 5: Solve for x
    x = 86,549,914,808.28/429,751.50
  6. Step 6: Final answer
    x = 201,395.26

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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.