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Finding the Fourth Proportional to 385,656.76, 578,858.29 and 186,117.61

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Solution

The fourth proportional to 385,656.76, 578,858.29 and 186,117.61 is: 279,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,656.76 : 578,858.29 = 186,117.61 : x
  2. Step 2: Convert to fraction form
    385,656.76/578,858.29 = 186,117.61/x
  3. Step 3: Cross multiply
    385,656.76x = 578,858.29 × 186,117.61
  4. Step 4: Simplify right side
    385,656.76x = 107,735,718,569.20
  5. Step 5: Solve for x
    x = 107,735,718,569.20/385,656.76
  6. Step 6: Final answer
    x = 279,356.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.