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Finding the Fourth Proportional to 459,667.89, 689,501.84 and 144,149.40

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Solution

The fourth proportional to 459,667.89, 689,501.84 and 144,149.40 is: 216,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,667.89 : 689,501.84 = 144,149.40 : x
  2. Step 2: Convert to fraction form
    459,667.89/689,501.84 = 144,149.40/x
  3. Step 3: Cross multiply
    459,667.89x = 689,501.84 × 144,149.40
  4. Step 4: Simplify right side
    459,667.89x = 99,391,275,814.15
  5. Step 5: Solve for x
    x = 99,391,275,814.15/459,667.89
  6. Step 6: Final answer
    x = 216,224.10

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1.5x scale

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.