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Finding the Fourth Proportional to 520,040.30, 780,060.45 and 319,711.10

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Solution

The fourth proportional to 520,040.30, 780,060.45 and 319,711.10 is: 479,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,040.30 : 780,060.45 = 319,711.10 : x
  2. Step 2: Convert to fraction form
    520,040.30/780,060.45 = 319,711.10/x
  3. Step 3: Cross multiply
    520,040.30x = 780,060.45 × 319,711.10
  4. Step 4: Simplify right side
    520,040.30x = 249,393,984,536.00
  5. Step 5: Solve for x
    x = 249,393,984,536.00/520,040.30
  6. Step 6: Final answer
    x = 479,566.65

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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.