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Finding the Fourth Proportional to 459,800.20, 689,700.30 and 409,061.80

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Solution

The fourth proportional to 459,800.20, 689,700.30 and 409,061.80 is: 613,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,800.20 : 689,700.30 = 409,061.80 : x
  2. Step 2: Convert to fraction form
    459,800.20/689,700.30 = 409,061.80/x
  3. Step 3: Cross multiply
    459,800.20x = 689,700.30 × 409,061.80
  4. Step 4: Simplify right side
    459,800.20x = 282,130,046,178.54
  5. Step 5: Solve for x
    x = 282,130,046,178.54/459,800.20
  6. Step 6: Final answer
    x = 613,592.70

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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.