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Finding the Fourth Proportional to 601,966.50, 830,708.19 and 330,049.50

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Solution

The fourth proportional to 601,966.50, 830,708.19 and 330,049.50 is: 455,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,966.50 : 830,708.19 = 330,049.50 : x
  2. Step 2: Convert to fraction form
    601,966.50/830,708.19 = 330,049.50/x
  3. Step 3: Cross multiply
    601,966.50x = 830,708.19 × 330,049.50
  4. Step 4: Simplify right side
    601,966.50x = 274,174,822,755.41
  5. Step 5: Solve for x
    x = 274,174,822,755.41/601,966.50
  6. Step 6: Final answer
    x = 455,465.25

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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.