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Finding the Fourth Proportional to 459,457.40, 687,803.70 and 404,161.40

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Solution

The fourth proportional to 459,457.40, 687,803.70 and 404,161.40 is: 605,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,457.40 : 687,803.70 = 404,161.40 : x
  2. Step 2: Convert to fraction form
    459,457.40/687,803.70 = 404,161.40/x
  3. Step 3: Cross multiply
    459,457.40x = 687,803.70 × 404,161.40
  4. Step 4: Simplify right side
    459,457.40x = 277,983,706,317.18
  5. Step 5: Solve for x
    x = 277,983,706,317.18/459,457.40
  6. Step 6: Final answer
    x = 605,026.07

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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.