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Finding the Fourth Proportional to 470,985.70, 706,379.60 and 155,368.66

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Solution

The fourth proportional to 470,985.70, 706,379.60 and 155,368.66 is: 233,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,985.70 : 706,379.60 = 155,368.66 : x
  2. Step 2: Convert to fraction form
    470,985.70/706,379.60 = 155,368.66/x
  3. Step 3: Cross multiply
    470,985.70x = 706,379.60 × 155,368.66
  4. Step 4: Simplify right side
    470,985.70x = 109,749,251,903.34
  5. Step 5: Solve for x
    x = 109,749,251,903.34/470,985.70
  6. Step 6: Final answer
    x = 233,020.35

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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.