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Finding the Fourth Proportional to 714,879.82, 986,287.52 and 456,907.76

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Solution

The fourth proportional to 714,879.82, 986,287.52 and 456,907.76 is: 630,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,879.82 : 986,287.52 = 456,907.76 : x
  2. Step 2: Convert to fraction form
    714,879.82/986,287.52 = 456,907.76/x
  3. Step 3: Cross multiply
    714,879.82x = 986,287.52 × 456,907.76
  4. Step 4: Simplify right side
    714,879.82x = 450,642,421,479.16
  5. Step 5: Solve for x
    x = 450,642,421,479.16/714,879.82
  6. Step 6: Final answer
    x = 630,375.08

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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.