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Finding the Fourth Proportional to 278,785.83, 418,312.65 and 152,420.97

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Solution

The fourth proportional to 278,785.83, 418,312.65 and 152,420.97 is: 228,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,785.83 : 418,312.65 = 152,420.97 : x
  2. Step 2: Convert to fraction form
    278,785.83/418,312.65 = 152,420.97/x
  3. Step 3: Cross multiply
    278,785.83x = 418,312.65 × 152,420.97
  4. Step 4: Simplify right side
    278,785.83x = 63,759,622,016.52
  5. Step 5: Solve for x
    x = 63,759,622,016.52/278,785.83
  6. Step 6: Final answer
    x = 228,704.67

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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.