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Finding the Fourth Proportional to 470,656.12, 706,071.66 and 155,135.32

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Solution

The fourth proportional to 470,656.12, 706,071.66 and 155,135.32 is: 232,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,656.12 : 706,071.66 = 155,135.32 : x
  2. Step 2: Convert to fraction form
    470,656.12/706,071.66 = 155,135.32/x
  3. Step 3: Cross multiply
    470,656.12x = 706,071.66 × 155,135.32
  4. Step 4: Simplify right side
    470,656.12x = 109,536,652,917.03
  5. Step 5: Solve for x
    x = 109,536,652,917.03/470,656.12
  6. Step 6: Final answer
    x = 232,731.81

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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.