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Finding the Fourth Proportional to 455,472.40, 683,138.32 and 155,884.16

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Solution

The fourth proportional to 455,472.40, 683,138.32 and 155,884.16 is: 233,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,472.40 : 683,138.32 = 155,884.16 : x
  2. Step 2: Convert to fraction form
    455,472.40/683,138.32 = 155,884.16/x
  3. Step 3: Cross multiply
    455,472.40x = 683,138.32 × 155,884.16
  4. Step 4: Simplify right side
    455,472.40x = 106,490,443,177.01
  5. Step 5: Solve for x
    x = 106,490,443,177.01/455,472.40
  6. Step 6: Final answer
    x = 233,802.19

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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.