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Finding the Fourth Proportional to 315,210.40, 472,815.60 and 310,544.80

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Solution

The fourth proportional to 315,210.40, 472,815.60 and 310,544.80 is: 465,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,210.40 : 472,815.60 = 310,544.80 : x
  2. Step 2: Convert to fraction form
    315,210.40/472,815.60 = 310,544.80/x
  3. Step 3: Cross multiply
    315,210.40x = 472,815.60 × 310,544.80
  4. Step 4: Simplify right side
    315,210.40x = 146,830,425,938.88
  5. Step 5: Solve for x
    x = 146,830,425,938.88/315,210.40
  6. Step 6: Final answer
    x = 465,817.20

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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.