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Finding the Fourth Proportional to 372,642.84, 514,248.30 and 202,878

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Solution

The fourth proportional to 372,642.84, 514,248.30 and 202,878 is: 279,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,642.84 : 514,248.30 = 202,878 : x
  2. Step 2: Convert to fraction form
    372,642.84/514,248.30 = 202,878/x
  3. Step 3: Cross multiply
    372,642.84x = 514,248.30 × 202,878
  4. Step 4: Simplify right side
    372,642.84x = 104,329,666,607.40
  5. Step 5: Solve for x
    x = 104,329,666,607.40/372,642.84
  6. Step 6: Final answer
    x = 279,972.28

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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.