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Finding the Fourth Proportional to 656,990.81, 984,208.03 and 431,666.63

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Solution

The fourth proportional to 656,990.81, 984,208.03 and 431,666.63 is: 646,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,990.81 : 984,208.03 = 431,666.63 : x
  2. Step 2: Convert to fraction form
    656,990.81/984,208.03 = 431,666.63/x
  3. Step 3: Cross multiply
    656,990.81x = 984,208.03 × 431,666.63
  4. Step 4: Simplify right side
    656,990.81x = 424,849,761,219.61
  5. Step 5: Solve for x
    x = 424,849,761,219.61/656,990.81
  6. Step 6: Final answer
    x = 646,660.13

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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.