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Finding the Fourth Proportional to 385,401.60, 577,929.60 and 148,665.60

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Solution

The fourth proportional to 385,401.60, 577,929.60 and 148,665.60 is: 222,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,401.60 : 577,929.60 = 148,665.60 : x
  2. Step 2: Convert to fraction form
    385,401.60/577,929.60 = 148,665.60/x
  3. Step 3: Cross multiply
    385,401.60x = 577,929.60 × 148,665.60
  4. Step 4: Simplify right side
    385,401.60x = 85,918,250,741.76
  5. Step 5: Solve for x
    x = 85,918,250,741.76/385,401.60
  6. Step 6: Final answer
    x = 222,931.74

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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.