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Finding the Fourth Proportional to 243,511.28, 336,259.36 and 153,024

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Solution

The fourth proportional to 243,511.28, 336,259.36 and 153,024 is: 211,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,511.28 : 336,259.36 = 153,024 : x
  2. Step 2: Convert to fraction form
    243,511.28/336,259.36 = 153,024/x
  3. Step 3: Cross multiply
    243,511.28x = 336,259.36 × 153,024
  4. Step 4: Simplify right side
    243,511.28x = 51,455,752,304.64
  5. Step 5: Solve for x
    x = 51,455,752,304.64/243,511.28
  6. Step 6: Final answer
    x = 211,307.47

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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.