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Finding the Fourth Proportional to 589,365.86, 813,422.40 and 347,707.50

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Solution

The fourth proportional to 589,365.86, 813,422.40 and 347,707.50 is: 479,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,365.86 : 813,422.40 = 347,707.50 : x
  2. Step 2: Convert to fraction form
    589,365.86/813,422.40 = 347,707.50/x
  3. Step 3: Cross multiply
    589,365.86x = 813,422.40 × 347,707.50
  4. Step 4: Simplify right side
    589,365.86x = 282,833,069,148
  5. Step 5: Solve for x
    x = 282,833,069,148/589,365.86
  6. Step 6: Final answer
    x = 479,893.88

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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.