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Finding the Fourth Proportional to 492,088.80, 738,478.80 and 315,026.40

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Solution

The fourth proportional to 492,088.80, 738,478.80 and 315,026.40 is: 472,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,088.80 : 738,478.80 = 315,026.40 : x
  2. Step 2: Convert to fraction form
    492,088.80/738,478.80 = 315,026.40/x
  3. Step 3: Cross multiply
    492,088.80x = 738,478.80 × 315,026.40
  4. Step 4: Simplify right side
    492,088.80x = 232,640,317,840.32
  5. Step 5: Solve for x
    x = 232,640,317,840.32/492,088.80
  6. Step 6: Final answer
    x = 472,760.85

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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.