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Finding the Fourth Proportional to 438,830.10, 658,223.28 and 154,534.68

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Solution

The fourth proportional to 438,830.10, 658,223.28 and 154,534.68 is: 231,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,830.10 : 658,223.28 = 154,534.68 : x
  2. Step 2: Convert to fraction form
    438,830.10/658,223.28 = 154,534.68/x
  3. Step 3: Cross multiply
    438,830.10x = 658,223.28 × 154,534.68
  4. Step 4: Simplify right side
    438,830.10x = 101,718,323,943.35
  5. Step 5: Solve for x
    x = 101,718,323,943.35/438,830.10
  6. Step 6: Final answer
    x = 231,794.32

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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.