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Finding the Fourth Proportional to 477,632.60, 715,412.10 and 394,688.60

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Solution

The fourth proportional to 477,632.60, 715,412.10 and 394,688.60 is: 591,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,632.60 : 715,412.10 = 394,688.60 : x
  2. Step 2: Convert to fraction form
    477,632.60/715,412.10 = 394,688.60/x
  3. Step 3: Cross multiply
    477,632.60x = 715,412.10 × 394,688.60
  4. Step 4: Simplify right side
    477,632.60x = 282,365,000,172.06
  5. Step 5: Solve for x
    x = 282,365,000,172.06/477,632.60
  6. Step 6: Final answer
    x = 591,176.15

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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.