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Finding the Fourth Proportional to 408,030.40, 612,045.60 and 219,073.60

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Solution

The fourth proportional to 408,030.40, 612,045.60 and 219,073.60 is: 328,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,030.40 : 612,045.60 = 219,073.60 : x
  2. Step 2: Convert to fraction form
    408,030.40/612,045.60 = 219,073.60/x
  3. Step 3: Cross multiply
    408,030.40x = 612,045.60 × 219,073.60
  4. Step 4: Simplify right side
    408,030.40x = 134,083,032,956.16
  5. Step 5: Solve for x
    x = 134,083,032,956.16/408,030.40
  6. Step 6: Final answer
    x = 328,610.40

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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.