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Finding the Fourth Proportional to 385,253.96, 577,097.58 and 314,429

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Solution

The fourth proportional to 385,253.96, 577,097.58 and 314,429 is: 471,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,253.96 : 577,097.58 = 314,429 : x
  2. Step 2: Convert to fraction form
    385,253.96/577,097.58 = 314,429/x
  3. Step 3: Cross multiply
    385,253.96x = 577,097.58 × 314,429
  4. Step 4: Simplify right side
    385,253.96x = 181,456,214,981.82
  5. Step 5: Solve for x
    x = 181,456,214,981.82/385,253.96
  6. Step 6: Final answer
    x = 471,004.15

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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.