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Finding the Fourth Proportional to 385,593.69, 577,384.50 and 310,302.57

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Solution

The fourth proportional to 385,593.69, 577,384.50 and 310,302.57 is: 464,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,593.69 : 577,384.50 = 310,302.57 : x
  2. Step 2: Convert to fraction form
    385,593.69/577,384.50 = 310,302.57/x
  3. Step 3: Cross multiply
    385,593.69x = 577,384.50 × 310,302.57
  4. Step 4: Simplify right side
    385,593.69x = 179,163,894,228.17
  5. Step 5: Solve for x
    x = 179,163,894,228.17/385,593.69
  6. Step 6: Final answer
    x = 464,644.26

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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.