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Finding the Fourth Proportional to 747,483, 1,031,512.15 and 407,953.68

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Solution

The fourth proportional to 747,483, 1,031,512.15 and 407,953.68 is: 562,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,483 : 1,031,512.15 = 407,953.68 : x
  2. Step 2: Convert to fraction form
    747,483/1,031,512.15 = 407,953.68/x
  3. Step 3: Cross multiply
    747,483x = 1,031,512.15 × 407,953.68
  4. Step 4: Simplify right side
    747,483x = 420,809,177,557.21
  5. Step 5: Solve for x
    x = 420,809,177,557.21/747,483
  6. Step 6: Final answer
    x = 562,968.22

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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.