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Finding the Fourth Proportional to 470,345.40, 705,034.92 and 185,920.44

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Solution

The fourth proportional to 470,345.40, 705,034.92 and 185,920.44 is: 278,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,345.40 : 705,034.92 = 185,920.44 : x
  2. Step 2: Convert to fraction form
    470,345.40/705,034.92 = 185,920.44/x
  3. Step 3: Cross multiply
    470,345.40x = 705,034.92 × 185,920.44
  4. Step 4: Simplify right side
    470,345.40x = 131,080,402,541.77
  5. Step 5: Solve for x
    x = 131,080,402,541.77/470,345.40
  6. Step 6: Final answer
    x = 278,689.67

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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.