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Finding the Fourth Proportional to 402,989.34, 604,462.14 and 122,484.72

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Solution

The fourth proportional to 402,989.34, 604,462.14 and 122,484.72 is: 183,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,989.34 : 604,462.14 = 122,484.72 : x
  2. Step 2: Convert to fraction form
    402,989.34/604,462.14 = 122,484.72/x
  3. Step 3: Cross multiply
    402,989.34x = 604,462.14 × 122,484.72
  4. Step 4: Simplify right side
    402,989.34x = 74,037,375,968.50
  5. Step 5: Solve for x
    x = 74,037,375,968.50/402,989.34
  6. Step 6: Final answer
    x = 183,720.43

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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.