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Finding the Fourth Proportional to 683,700.71, 1,024,893.74 and 459,123.75

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Solution

The fourth proportional to 683,700.71, 1,024,893.74 and 459,123.75 is: 688,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,700.71 : 1,024,893.74 = 459,123.75 : x
  2. Step 2: Convert to fraction form
    683,700.71/1,024,893.74 = 459,123.75/x
  3. Step 3: Cross multiply
    683,700.71x = 1,024,893.74 × 459,123.75
  4. Step 4: Simplify right side
    683,700.71x = 470,553,058,408.13
  5. Step 5: Solve for x
    x = 470,553,058,408.13/683,700.71
  6. Step 6: Final answer
    x = 688,244.22

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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.