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Finding the Fourth Proportional to 470,928.05, 706,392.20 and 138,504.05

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Solution

The fourth proportional to 470,928.05, 706,392.20 and 138,504.05 is: 207,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,928.05 : 706,392.20 = 138,504.05 : x
  2. Step 2: Convert to fraction form
    470,928.05/706,392.20 = 138,504.05/x
  3. Step 3: Cross multiply
    470,928.05x = 706,392.20 × 138,504.05
  4. Step 4: Simplify right side
    470,928.05x = 97,838,177,402.71
  5. Step 5: Solve for x
    x = 97,838,177,402.71/470,928.05
  6. Step 6: Final answer
    x = 207,756.11

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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.