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Finding the Fourth Proportional to 256,326.64, 384,526.73 and 78,848.62

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Solution

The fourth proportional to 256,326.64, 384,526.73 and 78,848.62 is: 118,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,326.64 : 384,526.73 = 78,848.62 : x
  2. Step 2: Convert to fraction form
    256,326.64/384,526.73 = 78,848.62/x
  3. Step 3: Cross multiply
    256,326.64x = 384,526.73 × 78,848.62
  4. Step 4: Simplify right side
    256,326.64x = 30,319,402,013.61
  5. Step 5: Solve for x
    x = 30,319,402,013.61/256,326.64
  6. Step 6: Final answer
    x = 118,284.24

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1.5x scale

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.