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Finding the Fourth Proportional to 459,813.60, 689,720.40 and 459,813.60

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Solution

The fourth proportional to 459,813.60, 689,720.40 and 459,813.60 is: 689,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,813.60 : 689,720.40 = 459,813.60 : x
  2. Step 2: Convert to fraction form
    459,813.60/689,720.40 = 459,813.60/x
  3. Step 3: Cross multiply
    459,813.60x = 689,720.40 × 459,813.60
  4. Step 4: Simplify right side
    459,813.60x = 317,142,820,117.44
  5. Step 5: Solve for x
    x = 317,142,820,117.44/459,813.60
  6. Step 6: Final answer
    x = 689,720.40

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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.