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Finding the Fourth Proportional to 459,322.37, 688,939.01 and 139,477.01

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Solution

The fourth proportional to 459,322.37, 688,939.01 and 139,477.01 is: 209,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,322.37 : 688,939.01 = 139,477.01 : x
  2. Step 2: Convert to fraction form
    459,322.37/688,939.01 = 139,477.01/x
  3. Step 3: Cross multiply
    459,322.37x = 688,939.01 × 139,477.01
  4. Step 4: Simplify right side
    459,322.37x = 96,091,153,189.80
  5. Step 5: Solve for x
    x = 96,091,153,189.80/459,322.37
  6. Step 6: Final answer
    x = 209,201.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.