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Finding the Fourth Proportional to 291,864.42, 402,782.91 and 169,347.54

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Solution

The fourth proportional to 291,864.42, 402,782.91 and 169,347.54 is: 233,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,864.42 : 402,782.91 = 169,347.54 : x
  2. Step 2: Convert to fraction form
    291,864.42/402,782.91 = 169,347.54/x
  3. Step 3: Cross multiply
    291,864.42x = 402,782.91 × 169,347.54
  4. Step 4: Simplify right side
    291,864.42x = 68,210,294,962.54
  5. Step 5: Solve for x
    x = 68,210,294,962.54/291,864.42
  6. Step 6: Final answer
    x = 233,705.41

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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.