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Finding the Fourth Proportional to 631,823.40, 947,202 and 294,686.46

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Solution

The fourth proportional to 631,823.40, 947,202 and 294,686.46 is: 441,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,823.40 : 947,202 = 294,686.46 : x
  2. Step 2: Convert to fraction form
    631,823.40/947,202 = 294,686.46/x
  3. Step 3: Cross multiply
    631,823.40x = 947,202 × 294,686.46
  4. Step 4: Simplify right side
    631,823.40x = 279,127,604,284.92
  5. Step 5: Solve for x
    x = 279,127,604,284.92/631,823.40
  6. Step 6: Final answer
    x = 441,781.05

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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.