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Finding the Fourth Proportional to 714,782.56, 986,402.64 and 388,096.08

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Solution

The fourth proportional to 714,782.56, 986,402.64 and 388,096.08 is: 535,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,782.56 : 986,402.64 = 388,096.08 : x
  2. Step 2: Convert to fraction form
    714,782.56/986,402.64 = 388,096.08/x
  3. Step 3: Cross multiply
    714,782.56x = 986,402.64 × 388,096.08
  4. Step 4: Simplify right side
    714,782.56x = 382,818,997,885.65
  5. Step 5: Solve for x
    x = 382,818,997,885.65/714,782.56
  6. Step 6: Final answer
    x = 535,574.06

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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.