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Finding the Fourth Proportional to 426,991.50, 589,248.27 and 257,260.86

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Solution

The fourth proportional to 426,991.50, 589,248.27 and 257,260.86 is: 355,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,991.50 : 589,248.27 = 257,260.86 : x
  2. Step 2: Convert to fraction form
    426,991.50/589,248.27 = 257,260.86/x
  3. Step 3: Cross multiply
    426,991.50x = 589,248.27 × 257,260.86
  4. Step 4: Simplify right side
    426,991.50x = 151,590,516,693.71
  5. Step 5: Solve for x
    x = 151,590,516,693.71/426,991.50
  6. Step 6: Final answer
    x = 355,019.99

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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.