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Finding the Fourth Proportional to 284,970.56, 393,263.51 and 164,133.54

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Solution

The fourth proportional to 284,970.56, 393,263.51 and 164,133.54 is: 226,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,970.56 : 393,263.51 = 164,133.54 : x
  2. Step 2: Convert to fraction form
    284,970.56/393,263.51 = 164,133.54/x
  3. Step 3: Cross multiply
    284,970.56x = 393,263.51 × 164,133.54
  4. Step 4: Simplify right side
    284,970.56x = 64,547,731,228.46
  5. Step 5: Solve for x
    x = 64,547,731,228.46/284,970.56
  6. Step 6: Final answer
    x = 226,506.67

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1.5x scale

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.