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Finding the Fourth Proportional to 200,516, 299,943.06 and 152,770

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Solution

The fourth proportional to 200,516, 299,943.06 and 152,770 is: 228,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,516 : 299,943.06 = 152,770 : x
  2. Step 2: Convert to fraction form
    200,516/299,943.06 = 152,770/x
  3. Step 3: Cross multiply
    200,516x = 299,943.06 × 152,770
  4. Step 4: Simplify right side
    200,516x = 45,822,301,276.20
  5. Step 5: Solve for x
    x = 45,822,301,276.20/200,516
  6. Step 6: Final answer
    x = 228,521.92

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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.