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Finding the Fourth Proportional to 388,901.44, 583,302.96 and 152,410.20

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Solution

The fourth proportional to 388,901.44, 583,302.96 and 152,410.20 is: 228,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,901.44 : 583,302.96 = 152,410.20 : x
  2. Step 2: Convert to fraction form
    388,901.44/583,302.96 = 152,410.20/x
  3. Step 3: Cross multiply
    388,901.44x = 583,302.96 × 152,410.20
  4. Step 4: Simplify right side
    388,901.44x = 88,901,320,794.19
  5. Step 5: Solve for x
    x = 88,901,320,794.19/388,901.44
  6. Step 6: Final answer
    x = 228,596.02

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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.