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Finding the Fourth Proportional to 430,893.30, 646,384.20 and 164,877.56

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Solution

The fourth proportional to 430,893.30, 646,384.20 and 164,877.56 is: 247,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,893.30 : 646,384.20 = 164,877.56 : x
  2. Step 2: Convert to fraction form
    430,893.30/646,384.20 = 164,877.56/x
  3. Step 3: Cross multiply
    430,893.30x = 646,384.20 × 164,877.56
  4. Step 4: Simplify right side
    430,893.30x = 106,574,249,718.55
  5. Step 5: Solve for x
    x = 106,574,249,718.55/430,893.30
  6. Step 6: Final answer
    x = 247,333.27

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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.