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Finding the Fourth Proportional to 517,512.32, 776,258.64 and 282,352.16

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Solution

The fourth proportional to 517,512.32, 776,258.64 and 282,352.16 is: 423,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,512.32 : 776,258.64 = 282,352.16 : x
  2. Step 2: Convert to fraction form
    517,512.32/776,258.64 = 282,352.16/x
  3. Step 3: Cross multiply
    517,512.32x = 776,258.64 × 282,352.16
  4. Step 4: Simplify right side
    517,512.32x = 219,178,303,722.66
  5. Step 5: Solve for x
    x = 219,178,303,722.66/517,512.32
  6. Step 6: Final answer
    x = 423,522.87

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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.