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Finding the Fourth Proportional to 291,674.50, 402,511.08 and 157,538.50

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Solution

The fourth proportional to 291,674.50, 402,511.08 and 157,538.50 is: 217,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,674.50 : 402,511.08 = 157,538.50 : x
  2. Step 2: Convert to fraction form
    291,674.50/402,511.08 = 157,538.50/x
  3. Step 3: Cross multiply
    291,674.50x = 402,511.08 × 157,538.50
  4. Step 4: Simplify right side
    291,674.50x = 63,410,991,776.58
  5. Step 5: Solve for x
    x = 63,410,991,776.58/291,674.50
  6. Step 6: Final answer
    x = 217,403.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.