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Finding the Fourth Proportional to 470,971.80, 706,500.90 and 155,429.40

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Solution

The fourth proportional to 470,971.80, 706,500.90 and 155,429.40 is: 233,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,971.80 : 706,500.90 = 155,429.40 : x
  2. Step 2: Convert to fraction form
    470,971.80/706,500.90 = 155,429.40/x
  3. Step 3: Cross multiply
    470,971.80x = 706,500.90 × 155,429.40
  4. Step 4: Simplify right side
    470,971.80x = 109,811,010,986.46
  5. Step 5: Solve for x
    x = 109,811,010,986.46/470,971.80
  6. Step 6: Final answer
    x = 233,158.36

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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.