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Finding the Fourth Proportional to 553,100.95, 763,352.10 and 311,430.62

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Solution

The fourth proportional to 553,100.95, 763,352.10 and 311,430.62 is: 429,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,100.95 : 763,352.10 = 311,430.62 : x
  2. Step 2: Convert to fraction form
    553,100.95/763,352.10 = 311,430.62/x
  3. Step 3: Cross multiply
    553,100.95x = 763,352.10 × 311,430.62
  4. Step 4: Simplify right side
    553,100.95x = 237,731,213,964.54
  5. Step 5: Solve for x
    x = 237,731,213,964.54/553,100.95
  6. Step 6: Final answer
    x = 429,815.23

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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.