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Finding the Fourth Proportional to 605,271.64, 833,854.08 and 421,193.74

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Solution

The fourth proportional to 605,271.64, 833,854.08 and 421,193.74 is: 580,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,271.64 : 833,854.08 = 421,193.74 : x
  2. Step 2: Convert to fraction form
    605,271.64/833,854.08 = 421,193.74/x
  3. Step 3: Cross multiply
    605,271.64x = 833,854.08 × 421,193.74
  4. Step 4: Simplify right side
    605,271.64x = 351,214,118,569.46
  5. Step 5: Solve for x
    x = 351,214,118,569.46/605,271.64
  6. Step 6: Final answer
    x = 580,258.67

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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.