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Finding the Fourth Proportional to 256,075.12, 384,174.98 and 85,296.40

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Solution

The fourth proportional to 256,075.12, 384,174.98 and 85,296.40 is: 127,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,075.12 : 384,174.98 = 85,296.40 : x
  2. Step 2: Convert to fraction form
    256,075.12/384,174.98 = 85,296.40/x
  3. Step 3: Cross multiply
    256,075.12x = 384,174.98 × 85,296.40
  4. Step 4: Simplify right side
    256,075.12x = 32,768,742,764.07
  5. Step 5: Solve for x
    x = 32,768,742,764.07/256,075.12
  6. Step 6: Final answer
    x = 127,965.35

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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.