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Finding the Fourth Proportional to 470,259.84, 705,380.04 and 115,275.72

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Solution

The fourth proportional to 470,259.84, 705,380.04 and 115,275.72 is: 172,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,259.84 : 705,380.04 = 115,275.72 : x
  2. Step 2: Convert to fraction form
    470,259.84/705,380.04 = 115,275.72/x
  3. Step 3: Cross multiply
    470,259.84x = 705,380.04 × 115,275.72
  4. Step 4: Simplify right side
    470,259.84x = 81,313,191,984.63
  5. Step 5: Solve for x
    x = 81,313,191,984.63/470,259.84
  6. Step 6: Final answer
    x = 172,911.20

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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.