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Finding the Fourth Proportional to 547,272.68, 820,350.93 and 310,114.40

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Solution

The fourth proportional to 547,272.68, 820,350.93 and 310,114.40 is: 464,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,272.68 : 820,350.93 = 310,114.40 : x
  2. Step 2: Convert to fraction form
    547,272.68/820,350.93 = 310,114.40/x
  3. Step 3: Cross multiply
    547,272.68x = 820,350.93 × 310,114.40
  4. Step 4: Simplify right side
    547,272.68x = 254,402,636,446.39
  5. Step 5: Solve for x
    x = 254,402,636,446.39/547,272.68
  6. Step 6: Final answer
    x = 464,855.36

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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.