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Finding the Fourth Proportional to 470,919.40, 706,379.10 and 155,359.60

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Solution

The fourth proportional to 470,919.40, 706,379.10 and 155,359.60 is: 233,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,919.40 : 706,379.10 = 155,359.60 : x
  2. Step 2: Convert to fraction form
    470,919.40/706,379.10 = 155,359.60/x
  3. Step 3: Cross multiply
    470,919.40x = 706,379.10 × 155,359.60
  4. Step 4: Simplify right side
    470,919.40x = 109,742,774,424.36
  5. Step 5: Solve for x
    x = 109,742,774,424.36/470,919.40
  6. Step 6: Final answer
    x = 233,039.40

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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.