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Finding the Fourth Proportional to 278,045.10, 383,606.01 and 164,904.30

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Solution

The fourth proportional to 278,045.10, 383,606.01 and 164,904.30 is: 227,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.10 : 383,606.01 = 164,904.30 : x
  2. Step 2: Convert to fraction form
    278,045.10/383,606.01 = 164,904.30/x
  3. Step 3: Cross multiply
    278,045.10x = 383,606.01 × 164,904.30
  4. Step 4: Simplify right side
    278,045.10x = 63,258,280,554.84
  5. Step 5: Solve for x
    x = 63,258,280,554.84/278,045.10
  6. Step 6: Final answer
    x = 227,510.86

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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.