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Finding the Fourth Proportional to 502,143.84, 692,955.36 and 300,939.84

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Solution

The fourth proportional to 502,143.84, 692,955.36 and 300,939.84 is: 415,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,143.84 : 692,955.36 = 300,939.84 : x
  2. Step 2: Convert to fraction form
    502,143.84/692,955.36 = 300,939.84/x
  3. Step 3: Cross multiply
    502,143.84x = 692,955.36 × 300,939.84
  4. Step 4: Simplify right side
    502,143.84x = 208,537,875,165.54
  5. Step 5: Solve for x
    x = 208,537,875,165.54/502,143.84
  6. Step 6: Final answer
    x = 415,295.10

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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.