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Finding the Fourth Proportional to 459,955.20, 688,620.60 and 407,467.20

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Solution

The fourth proportional to 459,955.20, 688,620.60 and 407,467.20 is: 610,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,955.20 : 688,620.60 = 407,467.20 : x
  2. Step 2: Convert to fraction form
    459,955.20/688,620.60 = 407,467.20/x
  3. Step 3: Cross multiply
    459,955.20x = 688,620.60 × 407,467.20
  4. Step 4: Simplify right side
    459,955.20x = 280,590,307,744.32
  5. Step 5: Solve for x
    x = 280,590,307,744.32/459,955.20
  6. Step 6: Final answer
    x = 610,038.34

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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.