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Finding the Fourth Proportional to 385,802.06, 578,610.12 and 115,873.40

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Solution

The fourth proportional to 385,802.06, 578,610.12 and 115,873.40 is: 173,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,802.06 : 578,610.12 = 115,873.40 : x
  2. Step 2: Convert to fraction form
    385,802.06/578,610.12 = 115,873.40/x
  3. Step 3: Cross multiply
    385,802.06x = 578,610.12 × 115,873.40
  4. Step 4: Simplify right side
    385,802.06x = 67,045,523,759.86
  5. Step 5: Solve for x
    x = 67,045,523,759.86/385,802.06
  6. Step 6: Final answer
    x = 173,782.18

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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.