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Finding the Fourth Proportional to 470,945.61, 706,442.85 and 155,427.12

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Solution

The fourth proportional to 470,945.61, 706,442.85 and 155,427.12 is: 233,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,945.61 : 706,442.85 = 155,427.12 : x
  2. Step 2: Convert to fraction form
    470,945.61/706,442.85 = 155,427.12/x
  3. Step 3: Cross multiply
    470,945.61x = 706,442.85 × 155,427.12
  4. Step 4: Simplify right side
    470,945.61x = 109,800,377,620.09
  5. Step 5: Solve for x
    x = 109,800,377,620.09/470,945.61
  6. Step 6: Final answer
    x = 233,148.74

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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.