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Finding the Fourth Proportional to 470,695.75, 706,043.63 and 138,271.75

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Solution

The fourth proportional to 470,695.75, 706,043.63 and 138,271.75 is: 207,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,695.75 : 706,043.63 = 138,271.75 : x
  2. Step 2: Convert to fraction form
    470,695.75/706,043.63 = 138,271.75/x
  3. Step 3: Cross multiply
    470,695.75x = 706,043.63 × 138,271.75
  4. Step 4: Simplify right side
    470,695.75x = 97,625,888,296.45
  5. Step 5: Solve for x
    x = 97,625,888,296.45/470,695.75
  6. Step 6: Final answer
    x = 207,407.63

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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.