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Finding the Fourth Proportional to 429,090.48, 643,705.92 and 176,303.52

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Solution

The fourth proportional to 429,090.48, 643,705.92 and 176,303.52 is: 264,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,090.48 : 643,705.92 = 176,303.52 : x
  2. Step 2: Convert to fraction form
    429,090.48/643,705.92 = 176,303.52/x
  3. Step 3: Cross multiply
    429,090.48x = 643,705.92 × 176,303.52
  4. Step 4: Simplify right side
    429,090.48x = 113,487,619,540.84
  5. Step 5: Solve for x
    x = 113,487,619,540.84/429,090.48
  6. Step 6: Final answer
    x = 264,484.12

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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.