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Finding the Fourth Proportional to 470,971.69, 706,482.06 and 155,453.20

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Solution

The fourth proportional to 470,971.69, 706,482.06 and 155,453.20 is: 233,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,971.69 : 706,482.06 = 155,453.20 : x
  2. Step 2: Convert to fraction form
    470,971.69/706,482.06 = 155,453.20/x
  3. Step 3: Cross multiply
    470,971.69x = 706,482.06 × 155,453.20
  4. Step 4: Simplify right side
    470,971.69x = 109,824,896,969.59
  5. Step 5: Solve for x
    x = 109,824,896,969.59/470,971.69
  6. Step 6: Final answer
    x = 233,187.89

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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.