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Finding the Fourth Proportional to 310,876.80, 466,430.40 and 299,356.80

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Solution

The fourth proportional to 310,876.80, 466,430.40 and 299,356.80 is: 449,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,876.80 : 466,430.40 = 299,356.80 : x
  2. Step 2: Convert to fraction form
    310,876.80/466,430.40 = 299,356.80/x
  3. Step 3: Cross multiply
    310,876.80x = 466,430.40 × 299,356.80
  4. Step 4: Simplify right side
    310,876.80x = 139,629,111,966.72
  5. Step 5: Solve for x
    x = 139,629,111,966.72/310,876.80
  6. Step 6: Final answer
    x = 449,146.13

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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.