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Finding the Fourth Proportional to 409,572.40, 565,559.04 and 256,867.60

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Solution

The fourth proportional to 409,572.40, 565,559.04 and 256,867.60 is: 354,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,572.40 : 565,559.04 = 256,867.60 : x
  2. Step 2: Convert to fraction form
    409,572.40/565,559.04 = 256,867.60/x
  3. Step 3: Cross multiply
    409,572.40x = 565,559.04 × 256,867.60
  4. Step 4: Simplify right side
    409,572.40x = 145,273,793,263.10
  5. Step 5: Solve for x
    x = 145,273,793,263.10/409,572.40
  6. Step 6: Final answer
    x = 354,696.25

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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.