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Finding the Fourth Proportional to 429,658.16, 644,487.51 and 163,357.16

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Solution

The fourth proportional to 429,658.16, 644,487.51 and 163,357.16 is: 245,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,658.16 : 644,487.51 = 163,357.16 : x
  2. Step 2: Convert to fraction form
    429,658.16/644,487.51 = 163,357.16/x
  3. Step 3: Cross multiply
    429,658.16x = 644,487.51 × 163,357.16
  4. Step 4: Simplify right side
    429,658.16x = 105,281,649,289.07
  5. Step 5: Solve for x
    x = 105,281,649,289.07/429,658.16
  6. Step 6: Final answer
    x = 245,035.84

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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.