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Finding the Fourth Proportional to 714,510.22, 986,020.23 and 392,225.80

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Solution

The fourth proportional to 714,510.22, 986,020.23 and 392,225.80 is: 541,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,510.22 : 986,020.23 = 392,225.80 : x
  2. Step 2: Convert to fraction form
    714,510.22/986,020.23 = 392,225.80/x
  3. Step 3: Cross multiply
    714,510.22x = 986,020.23 × 392,225.80
  4. Step 4: Simplify right side
    714,510.22x = 386,742,573,289.61
  5. Step 5: Solve for x
    x = 386,742,573,289.61/714,510.22
  6. Step 6: Final answer
    x = 541,269.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.