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Finding the Fourth Proportional to 312,599.32, 467,559.36 and 289,909.24

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Solution

The fourth proportional to 312,599.32, 467,559.36 and 289,909.24 is: 433,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,599.32 : 467,559.36 = 289,909.24 : x
  2. Step 2: Convert to fraction form
    312,599.32/467,559.36 = 289,909.24/x
  3. Step 3: Cross multiply
    312,599.32x = 467,559.36 × 289,909.24
  4. Step 4: Simplify right side
    312,599.32x = 135,549,778,712.49
  5. Step 5: Solve for x
    x = 135,549,778,712.49/312,599.32
  6. Step 6: Final answer
    x = 433,621.48

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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.