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Finding the Fourth Proportional to 385,730.64, 578,187.72 and 175,516.20

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Solution

The fourth proportional to 385,730.64, 578,187.72 and 175,516.20 is: 263,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,730.64 : 578,187.72 = 175,516.20 : x
  2. Step 2: Convert to fraction form
    385,730.64/578,187.72 = 175,516.20/x
  3. Step 3: Cross multiply
    385,730.64x = 578,187.72 × 175,516.20
  4. Step 4: Simplify right side
    385,730.64x = 101,481,311,501.06
  5. Step 5: Solve for x
    x = 101,481,311,501.06/385,730.64
  6. Step 6: Final answer
    x = 263,088.54

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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.