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Finding the Fourth Proportional to 291,464.15, 402,214.45 and 162,402.11

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Solution

The fourth proportional to 291,464.15, 402,214.45 and 162,402.11 is: 224,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,464.15 : 402,214.45 = 162,402.11 : x
  2. Step 2: Convert to fraction form
    291,464.15/402,214.45 = 162,402.11/x
  3. Step 3: Cross multiply
    291,464.15x = 402,214.45 × 162,402.11
  4. Step 4: Simplify right side
    291,464.15x = 65,320,475,352.49
  5. Step 5: Solve for x
    x = 65,320,475,352.49/291,464.15
  6. Step 6: Final answer
    x = 224,111.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.