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Finding the Fourth Proportional to 256,004.64, 383,968.08 and 98,307.36

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Solution

The fourth proportional to 256,004.64, 383,968.08 and 98,307.36 is: 147,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,004.64 : 383,968.08 = 98,307.36 : x
  2. Step 2: Convert to fraction form
    256,004.64/383,968.08 = 98,307.36/x
  3. Step 3: Cross multiply
    256,004.64x = 383,968.08 × 98,307.36
  4. Step 4: Simplify right side
    256,004.64x = 37,746,888,269.07
  5. Step 5: Solve for x
    x = 37,746,888,269.07/256,004.64
  6. Step 6: Final answer
    x = 147,446.11

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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.