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Finding the Fourth Proportional to 601,999, 830,888.22 and 360,335.50

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Solution

The fourth proportional to 601,999, 830,888.22 and 360,335.50 is: 497,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,999 : 830,888.22 = 360,335.50 : x
  2. Step 2: Convert to fraction form
    601,999/830,888.22 = 360,335.50/x
  3. Step 3: Cross multiply
    601,999x = 830,888.22 × 360,335.50
  4. Step 4: Simplify right side
    601,999x = 299,398,522,197.81
  5. Step 5: Solve for x
    x = 299,398,522,197.81/601,999
  6. Step 6: Final answer
    x = 497,340.56

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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.