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Finding the Fourth Proportional to 310,210.56, 465,454.08 and 162,432

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Solution

The fourth proportional to 310,210.56, 465,454.08 and 162,432 is: 243,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,210.56 : 465,454.08 = 162,432 : x
  2. Step 2: Convert to fraction form
    310,210.56/465,454.08 = 162,432/x
  3. Step 3: Cross multiply
    310,210.56x = 465,454.08 × 162,432
  4. Step 4: Simplify right side
    310,210.56x = 75,604,637,122.56
  5. Step 5: Solve for x
    x = 75,604,637,122.56/310,210.56
  6. Step 6: Final answer
    x = 243,720.39

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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.