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Finding the Fourth Proportional to 747,348, 1,031,362.11 and 407,838.12

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Solution

The fourth proportional to 747,348, 1,031,362.11 and 407,838.12 is: 562,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,348 : 1,031,362.11 = 407,838.12 : x
  2. Step 2: Convert to fraction form
    747,348/1,031,362.11 = 407,838.12/x
  3. Step 3: Cross multiply
    747,348x = 1,031,362.11 × 407,838.12
  4. Step 4: Simplify right side
    747,348x = 420,628,783,981.63
  5. Step 5: Solve for x
    x = 420,628,783,981.63/747,348
  6. Step 6: Final answer
    x = 562,828.54

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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.