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Finding the Fourth Proportional to 459,460.46, 689,190.70 and 209,967.50

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Solution

The fourth proportional to 459,460.46, 689,190.70 and 209,967.50 is: 314,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,460.46 : 689,190.70 = 209,967.50 : x
  2. Step 2: Convert to fraction form
    459,460.46/689,190.70 = 209,967.50/x
  3. Step 3: Cross multiply
    459,460.46x = 689,190.70 × 209,967.50
  4. Step 4: Simplify right side
    459,460.46x = 144,707,648,302.25
  5. Step 5: Solve for x
    x = 144,707,648,302.25/459,460.46
  6. Step 6: Final answer
    x = 314,951.25

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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.