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Finding the Fourth Proportional to 434,688.86, 599,319.39 and 310,658.06

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Solution

The fourth proportional to 434,688.86, 599,319.39 and 310,658.06 is: 428,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,688.86 : 599,319.39 = 310,658.06 : x
  2. Step 2: Convert to fraction form
    434,688.86/599,319.39 = 310,658.06/x
  3. Step 3: Cross multiply
    434,688.86x = 599,319.39 × 310,658.06
  4. Step 4: Simplify right side
    434,688.86x = 186,183,396,021.19
  5. Step 5: Solve for x
    x = 186,183,396,021.19/434,688.86
  6. Step 6: Final answer
    x = 428,314.16

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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.