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Finding the Fourth Proportional to 617,903.68, 852,508.92 and 345,931.60

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Solution

The fourth proportional to 617,903.68, 852,508.92 and 345,931.60 is: 477,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,903.68 : 852,508.92 = 345,931.60 : x
  2. Step 2: Convert to fraction form
    617,903.68/852,508.92 = 345,931.60/x
  3. Step 3: Cross multiply
    617,903.68x = 852,508.92 × 345,931.60
  4. Step 4: Simplify right side
    617,903.68x = 294,909,774,709.87
  5. Step 5: Solve for x
    x = 294,909,774,709.87/617,903.68
  6. Step 6: Final answer
    x = 477,274.67

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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.