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Finding the Fourth Proportional to 371,423.88, 511,417.29 and 290,080.71

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Solution

The fourth proportional to 371,423.88, 511,417.29 and 290,080.71 is: 399,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,423.88 : 511,417.29 = 290,080.71 : x
  2. Step 2: Convert to fraction form
    371,423.88/511,417.29 = 290,080.71/x
  3. Step 3: Cross multiply
    371,423.88x = 511,417.29 × 290,080.71
  4. Step 4: Simplify right side
    371,423.88x = 148,352,291,419.49
  5. Step 5: Solve for x
    x = 148,352,291,419.49/371,423.88
  6. Step 6: Final answer
    x = 399,415.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.