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Finding the Fourth Proportional to 470,895.45, 706,343.17 and 138,471.45

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Solution

The fourth proportional to 470,895.45, 706,343.17 and 138,471.45 is: 207,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,895.45 : 706,343.17 = 138,471.45 : x
  2. Step 2: Convert to fraction form
    470,895.45/706,343.17 = 138,471.45/x
  3. Step 3: Cross multiply
    470,895.45x = 706,343.17 × 138,471.45
  4. Step 4: Simplify right side
    470,895.45x = 97,808,362,601.32
  5. Step 5: Solve for x
    x = 97,808,362,601.32/470,895.45
  6. Step 6: Final answer
    x = 207,707.17

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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.