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Finding the Fourth Proportional to 648,471.20, 972,476.40 and 293,655.20

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Solution

The fourth proportional to 648,471.20, 972,476.40 and 293,655.20 is: 440,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,471.20 : 972,476.40 = 293,655.20 : x
  2. Step 2: Convert to fraction form
    648,471.20/972,476.40 = 293,655.20/x
  3. Step 3: Cross multiply
    648,471.20x = 972,476.40 × 293,655.20
  4. Step 4: Simplify right side
    648,471.20x = 285,572,751,737.28
  5. Step 5: Solve for x
    x = 285,572,751,737.28/648,471.20
  6. Step 6: Final answer
    x = 440,378.47

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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.