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Finding the Fourth Proportional to 657,363.44, 907,416.60 and 385,670

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Solution

The fourth proportional to 657,363.44, 907,416.60 and 385,670 is: 532,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,363.44 : 907,416.60 = 385,670 : x
  2. Step 2: Convert to fraction form
    657,363.44/907,416.60 = 385,670/x
  3. Step 3: Cross multiply
    657,363.44x = 907,416.60 × 385,670
  4. Step 4: Simplify right side
    657,363.44x = 349,963,360,122
  5. Step 5: Solve for x
    x = 349,963,360,122/657,363.44
  6. Step 6: Final answer
    x = 532,374.24

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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.