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Finding the Fourth Proportional to 291,530.48, 402,295.78 and 160,703.90

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Solution

The fourth proportional to 291,530.48, 402,295.78 and 160,703.90 is: 221,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,530.48 : 402,295.78 = 160,703.90 : x
  2. Step 2: Convert to fraction form
    291,530.48/402,295.78 = 160,703.90/x
  3. Step 3: Cross multiply
    291,530.48x = 402,295.78 × 160,703.90
  4. Step 4: Simplify right side
    291,530.48x = 64,650,500,497.55
  5. Step 5: Solve for x
    x = 64,650,500,497.55/291,530.48
  6. Step 6: Final answer
    x = 221,762.41

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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.