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Finding the Fourth Proportional to 678,873.76, 1,018,441.76 and 258,116.92

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Solution

The fourth proportional to 678,873.76, 1,018,441.76 and 258,116.92 is: 387,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,873.76 : 1,018,441.76 = 258,116.92 : x
  2. Step 2: Convert to fraction form
    678,873.76/1,018,441.76 = 258,116.92/x
  3. Step 3: Cross multiply
    678,873.76x = 1,018,441.76 × 258,116.92
  4. Step 4: Simplify right side
    678,873.76x = 262,877,050,290.58
  5. Step 5: Solve for x
    x = 262,877,050,290.58/678,873.76
  6. Step 6: Final answer
    x = 387,225.23

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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.