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Finding the Fourth Proportional to 714,642.52, 986,668.14 and 442,999.32

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Solution

The fourth proportional to 714,642.52, 986,668.14 and 442,999.32 is: 611,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,642.52 : 986,668.14 = 442,999.32 : x
  2. Step 2: Convert to fraction form
    714,642.52/986,668.14 = 442,999.32/x
  3. Step 3: Cross multiply
    714,642.52x = 986,668.14 × 442,999.32
  4. Step 4: Simplify right side
    714,642.52x = 437,093,315,085.67
  5. Step 5: Solve for x
    x = 437,093,315,085.67/714,642.52
  6. Step 6: Final answer
    x = 611,625.12

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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.