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Finding the Fourth Proportional to 470,784.30, 706,176.45 and 432,077.10

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Solution

The fourth proportional to 470,784.30, 706,176.45 and 432,077.10 is: 648,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,784.30 : 706,176.45 = 432,077.10 : x
  2. Step 2: Convert to fraction form
    470,784.30/706,176.45 = 432,077.10/x
  3. Step 3: Cross multiply
    470,784.30x = 706,176.45 × 432,077.10
  4. Step 4: Simplify right side
    470,784.30x = 305,122,672,604.30
  5. Step 5: Solve for x
    x = 305,122,672,604.30/470,784.30
  6. Step 6: Final answer
    x = 648,115.65

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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.