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Finding the Fourth Proportional to 470,391.87, 705,675.29 and 154,870.95

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Solution

The fourth proportional to 470,391.87, 705,675.29 and 154,870.95 is: 232,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,391.87 : 705,675.29 = 154,870.95 : x
  2. Step 2: Convert to fraction form
    470,391.87/705,675.29 = 154,870.95/x
  3. Step 3: Cross multiply
    470,391.87x = 705,675.29 × 154,870.95
  4. Step 4: Simplify right side
    470,391.87x = 109,288,601,779.47
  5. Step 5: Solve for x
    x = 109,288,601,779.47/470,391.87
  6. Step 6: Final answer
    x = 232,335.23

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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.