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Finding the Fourth Proportional to 289,710.60, 434,565.90 and 163,739.40

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Solution

The fourth proportional to 289,710.60, 434,565.90 and 163,739.40 is: 245,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,710.60 : 434,565.90 = 163,739.40 : x
  2. Step 2: Convert to fraction form
    289,710.60/434,565.90 = 163,739.40/x
  3. Step 3: Cross multiply
    289,710.60x = 434,565.90 × 163,739.40
  4. Step 4: Simplify right side
    289,710.60x = 71,155,559,726.46
  5. Step 5: Solve for x
    x = 71,155,559,726.46/289,710.60
  6. Step 6: Final answer
    x = 245,609.10

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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.