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Finding the Fourth Proportional to 256,157.40, 384,345.45 and 122,969.10

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Solution

The fourth proportional to 256,157.40, 384,345.45 and 122,969.10 is: 184,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,157.40 : 384,345.45 = 122,969.10 : x
  2. Step 2: Convert to fraction form
    256,157.40/384,345.45 = 122,969.10/x
  3. Step 3: Cross multiply
    256,157.40x = 384,345.45 × 122,969.10
  4. Step 4: Simplify right side
    256,157.40x = 47,262,614,075.60
  5. Step 5: Solve for x
    x = 47,262,614,075.60/256,157.40
  6. Step 6: Final answer
    x = 184,506.14

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1.5x scale

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.