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Finding the Fourth Proportional to 470,020.09, 705,060.12 and 133,087.30

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Solution

The fourth proportional to 470,020.09, 705,060.12 and 133,087.30 is: 199,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,020.09 : 705,060.12 = 133,087.30 : x
  2. Step 2: Convert to fraction form
    470,020.09/705,060.12 = 133,087.30/x
  3. Step 3: Cross multiply
    470,020.09x = 705,060.12 × 133,087.30
  4. Step 4: Simplify right side
    470,020.09x = 93,834,547,708.48
  5. Step 5: Solve for x
    x = 93,834,547,708.48/470,020.09
  6. Step 6: Final answer
    x = 199,639.44

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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.