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Finding the Fourth Proportional to 425,697.81, 589,998.80 and 417,726.20

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Solution

The fourth proportional to 425,697.81, 589,998.80 and 417,726.20 is: 578,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,697.81 : 589,998.80 = 417,726.20 : x
  2. Step 2: Convert to fraction form
    425,697.81/589,998.80 = 417,726.20/x
  3. Step 3: Cross multiply
    425,697.81x = 589,998.80 × 417,726.20
  4. Step 4: Simplify right side
    425,697.81x = 246,457,951,689.94
  5. Step 5: Solve for x
    x = 246,457,951,689.94/425,697.81
  6. Step 6: Final answer
    x = 578,950.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.