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Finding the Fourth Proportional to 389,666.40, 538,111.01 and 368,437.61

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Solution

The fourth proportional to 389,666.40, 538,111.01 and 368,437.61 is: 508,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,666.40 : 538,111.01 = 368,437.61 : x
  2. Step 2: Convert to fraction form
    389,666.40/538,111.01 = 368,437.61/x
  3. Step 3: Cross multiply
    389,666.40x = 538,111.01 × 368,437.61
  4. Step 4: Simplify right side
    389,666.40x = 198,260,336,705.46
  5. Step 5: Solve for x
    x = 198,260,336,705.46/389,666.40
  6. Step 6: Final answer
    x = 508,795.06

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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.