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Finding the Fourth Proportional to 429,767.82, 644,931.45 and 163,530.54

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Solution

The fourth proportional to 429,767.82, 644,931.45 and 163,530.54 is: 245,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,767.82 : 644,931.45 = 163,530.54 : x
  2. Step 2: Convert to fraction form
    429,767.82/644,931.45 = 163,530.54/x
  3. Step 3: Cross multiply
    429,767.82x = 644,931.45 × 163,530.54
  4. Step 4: Simplify right side
    429,767.82x = 105,465,988,281.48
  5. Step 5: Solve for x
    x = 105,465,988,281.48/429,767.82
  6. Step 6: Final answer
    x = 245,402.25

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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.