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Finding the Fourth Proportional to 412,590.95, 618,925.85 and 128,205.13

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Solution

The fourth proportional to 412,590.95, 618,925.85 and 128,205.13 is: 192,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,590.95 : 618,925.85 = 128,205.13 : x
  2. Step 2: Convert to fraction form
    412,590.95/618,925.85 = 128,205.13/x
  3. Step 3: Cross multiply
    412,590.95x = 618,925.85 × 128,205.13
  4. Step 4: Simplify right side
    412,590.95x = 79,349,467,592.42
  5. Step 5: Solve for x
    x = 79,349,467,592.42/412,590.95
  6. Step 6: Final answer
    x = 192,319.94

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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.