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Finding the Fourth Proportional to 470,019.80, 705,118.98 and 154,567.64

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Solution

The fourth proportional to 470,019.80, 705,118.98 and 154,567.64 is: 231,880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,019.80 : 705,118.98 = 154,567.64 : x
  2. Step 2: Convert to fraction form
    470,019.80/705,118.98 = 154,567.64/x
  3. Step 3: Cross multiply
    470,019.80x = 705,118.98 × 154,567.64
  4. Step 4: Simplify right side
    470,019.80x = 108,988,576,657.81
  5. Step 5: Solve for x
    x = 108,988,576,657.81/470,019.80
  6. Step 6: Final answer
    x = 231,880.82

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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.