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Finding the Fourth Proportional to 385,708.84, 578,208.80 and 132,929.29

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Solution

The fourth proportional to 385,708.84, 578,208.80 and 132,929.29 is: 199,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,708.84 : 578,208.80 = 132,929.29 : x
  2. Step 2: Convert to fraction form
    385,708.84/578,208.80 = 132,929.29/x
  3. Step 3: Cross multiply
    385,708.84x = 578,208.80 × 132,929.29
  4. Step 4: Simplify right side
    385,708.84x = 76,860,884,591.11
  5. Step 5: Solve for x
    x = 76,860,884,591.11/385,708.84
  6. Step 6: Final answer
    x = 199,271.77

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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.