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Finding the Fourth Proportional to 405,643.60, 608,465.40 and 256,052.80

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Solution

The fourth proportional to 405,643.60, 608,465.40 and 256,052.80 is: 384,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,643.60 : 608,465.40 = 256,052.80 : x
  2. Step 2: Convert to fraction form
    405,643.60/608,465.40 = 256,052.80/x
  3. Step 3: Cross multiply
    405,643.60x = 608,465.40 × 256,052.80
  4. Step 4: Simplify right side
    405,643.60x = 155,799,269,373.12
  5. Step 5: Solve for x
    x = 155,799,269,373.12/405,643.60
  6. Step 6: Final answer
    x = 384,079.20

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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.