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Finding the Fourth Proportional to 609,448.84, 841,138.50 and 364,417

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Solution

The fourth proportional to 609,448.84, 841,138.50 and 364,417 is: 502,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,448.84 : 841,138.50 = 364,417 : x
  2. Step 2: Convert to fraction form
    609,448.84/841,138.50 = 364,417/x
  3. Step 3: Cross multiply
    609,448.84x = 841,138.50 × 364,417
  4. Step 4: Simplify right side
    609,448.84x = 306,525,168,754.50
  5. Step 5: Solve for x
    x = 306,525,168,754.50/609,448.84
  6. Step 6: Final answer
    x = 502,954.72

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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.