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Finding the Fourth Proportional to 287,124.34, 430,653.70 and 76,778.68

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Solution

The fourth proportional to 287,124.34, 430,653.70 and 76,778.68 is: 115,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,124.34 : 430,653.70 = 76,778.68 : x
  2. Step 2: Convert to fraction form
    287,124.34/430,653.70 = 76,778.68/x
  3. Step 3: Cross multiply
    287,124.34x = 430,653.70 × 76,778.68
  4. Step 4: Simplify right side
    287,124.34x = 33,065,022,623.12
  5. Step 5: Solve for x
    x = 33,065,022,623.12/287,124.34
  6. Step 6: Final answer
    x = 115,159.25

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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.