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Finding the Fourth Proportional to 310,840.80, 466,376.40 and 299,320.80

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Solution

The fourth proportional to 310,840.80, 466,376.40 and 299,320.80 is: 449,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,840.80 : 466,376.40 = 299,320.80 : x
  2. Step 2: Convert to fraction form
    310,840.80/466,376.40 = 299,320.80/x
  3. Step 3: Cross multiply
    310,840.80x = 466,376.40 × 299,320.80
  4. Step 4: Simplify right side
    310,840.80x = 139,596,157,149.12
  5. Step 5: Solve for x
    x = 139,596,157,149.12/310,840.80
  6. Step 6: Final answer
    x = 449,092.13

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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.