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Finding the Fourth Proportional to 631,812.80, 947,373.60 and 257,412.80

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Solution

The fourth proportional to 631,812.80, 947,373.60 and 257,412.80 is: 385,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,812.80 : 947,373.60 = 257,412.80 : x
  2. Step 2: Convert to fraction form
    631,812.80/947,373.60 = 257,412.80/x
  3. Step 3: Cross multiply
    631,812.80x = 947,373.60 × 257,412.80
  4. Step 4: Simplify right side
    631,812.80x = 243,866,091,022.08
  5. Step 5: Solve for x
    x = 243,866,091,022.08/631,812.80
  6. Step 6: Final answer
    x = 385,978.40

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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.