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Finding the Fourth Proportional to 816,720, 1,127,073.60 and 459,024

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Solution

The fourth proportional to 816,720, 1,127,073.60 and 459,024 is: 633,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,720 : 1,127,073.60 = 459,024 : x
  2. Step 2: Convert to fraction form
    816,720/1,127,073.60 = 459,024/x
  3. Step 3: Cross multiply
    816,720x = 1,127,073.60 × 459,024
  4. Step 4: Simplify right side
    816,720x = 517,353,832,166.40
  5. Step 5: Solve for x
    x = 517,353,832,166.40/816,720
  6. Step 6: Final answer
    x = 633,453.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.