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Finding the Fourth Proportional to 384,140.10, 576,210.15 and 103,656.90

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Solution

The fourth proportional to 384,140.10, 576,210.15 and 103,656.90 is: 155,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140.10 : 576,210.15 = 103,656.90 : x
  2. Step 2: Convert to fraction form
    384,140.10/576,210.15 = 103,656.90/x
  3. Step 3: Cross multiply
    384,140.10x = 576,210.15 × 103,656.90
  4. Step 4: Simplify right side
    384,140.10x = 59,728,157,897.54
  5. Step 5: Solve for x
    x = 59,728,157,897.54/384,140.10
  6. Step 6: Final answer
    x = 155,485.35

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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.