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Finding the Fourth Proportional to 477,632.10, 715,411.35 and 394,688.10

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Solution

The fourth proportional to 477,632.10, 715,411.35 and 394,688.10 is: 591,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,632.10 : 715,411.35 = 394,688.10 : x
  2. Step 2: Convert to fraction form
    477,632.10/715,411.35 = 394,688.10/x
  3. Step 3: Cross multiply
    477,632.10x = 715,411.35 × 394,688.10
  4. Step 4: Simplify right side
    477,632.10x = 282,364,346,449.94
  5. Step 5: Solve for x
    x = 282,364,346,449.94/477,632.10
  6. Step 6: Final answer
    x = 591,175.40

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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.