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Finding the Fourth Proportional to 385,801.72, 532,415.82 and 216,070.36

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Solution

The fourth proportional to 385,801.72, 532,415.82 and 216,070.36 is: 298,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,801.72 : 532,415.82 = 216,070.36 : x
  2. Step 2: Convert to fraction form
    385,801.72/532,415.82 = 216,070.36/x
  3. Step 3: Cross multiply
    385,801.72x = 532,415.82 × 216,070.36
  4. Step 4: Simplify right side
    385,801.72x = 115,039,277,897.10
  5. Step 5: Solve for x
    x = 115,039,277,897.10/385,801.72
  6. Step 6: Final answer
    x = 298,182.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.