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Finding the Fourth Proportional to 402,017.10, 603,025.65 and 213,060.30

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Solution

The fourth proportional to 402,017.10, 603,025.65 and 213,060.30 is: 319,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,017.10 : 603,025.65 = 213,060.30 : x
  2. Step 2: Convert to fraction form
    402,017.10/603,025.65 = 213,060.30/x
  3. Step 3: Cross multiply
    402,017.10x = 603,025.65 × 213,060.30
  4. Step 4: Simplify right side
    402,017.10x = 128,480,825,896.70
  5. Step 5: Solve for x
    x = 128,480,825,896.70/402,017.10
  6. Step 6: Final answer
    x = 319,590.45

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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.