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Finding the Fourth Proportional to 393,782.07, 542,275.65 and 342,075.45

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Solution

The fourth proportional to 393,782.07, 542,275.65 and 342,075.45 is: 471,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,782.07 : 542,275.65 = 342,075.45 : x
  2. Step 2: Convert to fraction form
    393,782.07/542,275.65 = 342,075.45/x
  3. Step 3: Cross multiply
    393,782.07x = 542,275.65 × 342,075.45
  4. Step 4: Simplify right side
    393,782.07x = 185,499,186,997.79
  5. Step 5: Solve for x
    x = 185,499,186,997.79/393,782.07
  6. Step 6: Final answer
    x = 471,070.68

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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.