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Finding the Fourth Proportional to 310,904.40, 465,773.40 and 289,909.20

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Solution

The fourth proportional to 310,904.40, 465,773.40 and 289,909.20 is: 434,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904.40 : 465,773.40 = 289,909.20 : x
  2. Step 2: Convert to fraction form
    310,904.40/465,773.40 = 289,909.20/x
  3. Step 3: Cross multiply
    310,904.40x = 465,773.40 × 289,909.20
  4. Step 4: Simplify right side
    310,904.40x = 135,031,993,775.28
  5. Step 5: Solve for x
    x = 135,031,993,775.28/310,904.40
  6. Step 6: Final answer
    x = 434,319.98

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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.