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Finding the Fourth Proportional to 553,047.60, 763,228.80 and 311,330.64

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Solution

The fourth proportional to 553,047.60, 763,228.80 and 311,330.64 is: 429,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,047.60 : 763,228.80 = 311,330.64 : x
  2. Step 2: Convert to fraction form
    553,047.60/763,228.80 = 311,330.64/x
  3. Step 3: Cross multiply
    553,047.60x = 763,228.80 × 311,330.64
  4. Step 4: Simplify right side
    553,047.60x = 237,616,510,770.43
  5. Step 5: Solve for x
    x = 237,616,510,770.43/553,047.60
  6. Step 6: Final answer
    x = 429,649.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.