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Finding the Fourth Proportional to 430,455.95, 645,683.92 and 156,922.67

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Solution

The fourth proportional to 430,455.95, 645,683.92 and 156,922.67 is: 235,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,455.95 : 645,683.92 = 156,922.67 : x
  2. Step 2: Convert to fraction form
    430,455.95/645,683.92 = 156,922.67/x
  3. Step 3: Cross multiply
    430,455.95x = 645,683.92 × 156,922.67
  4. Step 4: Simplify right side
    430,455.95x = 101,322,442,292.40
  5. Step 5: Solve for x
    x = 101,322,442,292.40/430,455.95
  6. Step 6: Final answer
    x = 235,384.00

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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.