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Finding the Fourth Proportional to 311,706.02, 430,154.40 and 168,466.08

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Solution

The fourth proportional to 311,706.02, 430,154.40 and 168,466.08 is: 232,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,706.02 : 430,154.40 = 168,466.08 : x
  2. Step 2: Convert to fraction form
    311,706.02/430,154.40 = 168,466.08/x
  3. Step 3: Cross multiply
    311,706.02x = 430,154.40 × 168,466.08
  4. Step 4: Simplify right side
    311,706.02x = 72,466,425,562.75
  5. Step 5: Solve for x
    x = 72,466,425,562.75/311,706.02
  6. Step 6: Final answer
    x = 232,483.24

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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.