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Finding the Fourth Proportional to 459,616.60, 689,813.70 and 207,285.40

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Solution

The fourth proportional to 459,616.60, 689,813.70 and 207,285.40 is: 311,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,616.60 : 689,813.70 = 207,285.40 : x
  2. Step 2: Convert to fraction form
    459,616.60/689,813.70 = 207,285.40/x
  3. Step 3: Cross multiply
    459,616.60x = 689,813.70 × 207,285.40
  4. Step 4: Simplify right side
    459,616.60x = 142,988,308,729.98
  5. Step 5: Solve for x
    x = 142,988,308,729.98/459,616.60
  6. Step 6: Final answer
    x = 311,103.45

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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.