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Finding the Fourth Proportional to 459,006.40, 688,509.60 and 407,830.60

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Solution

The fourth proportional to 459,006.40, 688,509.60 and 407,830.60 is: 611,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,006.40 : 688,509.60 = 407,830.60 : x
  2. Step 2: Convert to fraction form
    459,006.40/688,509.60 = 407,830.60/x
  3. Step 3: Cross multiply
    459,006.40x = 688,509.60 × 407,830.60
  4. Step 4: Simplify right side
    459,006.40x = 280,795,283,273.76
  5. Step 5: Solve for x
    x = 280,795,283,273.76/459,006.40
  6. Step 6: Final answer
    x = 611,745.90

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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.