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Finding the Fourth Proportional to 385,712.89, 578,457.59 and 115,830.14

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Solution

The fourth proportional to 385,712.89, 578,457.59 and 115,830.14 is: 173,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,712.89 : 578,457.59 = 115,830.14 : x
  2. Step 2: Convert to fraction form
    385,712.89/578,457.59 = 115,830.14/x
  3. Step 3: Cross multiply
    385,712.89x = 578,457.59 × 115,830.14
  4. Step 4: Simplify right side
    385,712.89x = 67,002,820,162.32
  5. Step 5: Solve for x
    x = 67,002,820,162.32/385,712.89
  6. Step 6: Final answer
    x = 173,711.64

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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.