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Finding the Fourth Proportional to 459,123.37, 688,697.37 and 143,580.28

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Solution

The fourth proportional to 459,123.37, 688,697.37 and 143,580.28 is: 215,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,123.37 : 688,697.37 = 143,580.28 : x
  2. Step 2: Convert to fraction form
    459,123.37/688,697.37 = 143,580.28/x
  3. Step 3: Cross multiply
    459,123.37x = 688,697.37 × 143,580.28
  4. Step 4: Simplify right side
    459,123.37x = 98,883,361,219.86
  5. Step 5: Solve for x
    x = 98,883,361,219.86/459,123.37
  6. Step 6: Final answer
    x = 215,374.27

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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.