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Finding the Fourth Proportional to 310,135.80, 465,203.70 and 307,511.40

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Solution

The fourth proportional to 310,135.80, 465,203.70 and 307,511.40 is: 461,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,135.80 : 465,203.70 = 307,511.40 : x
  2. Step 2: Convert to fraction form
    310,135.80/465,203.70 = 307,511.40/x
  3. Step 3: Cross multiply
    310,135.80x = 465,203.70 × 307,511.40
  4. Step 4: Simplify right side
    310,135.80x = 143,055,441,072.18
  5. Step 5: Solve for x
    x = 143,055,441,072.18/310,135.80
  6. Step 6: Final answer
    x = 461,267.10

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1.5x scale

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.