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Finding the Fourth Proportional to 532,357.30, 734,643.43 and 302,909.61

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Solution

The fourth proportional to 532,357.30, 734,643.43 and 302,909.61 is: 418,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,357.30 : 734,643.43 = 302,909.61 : x
  2. Step 2: Convert to fraction form
    532,357.30/734,643.43 = 302,909.61/x
  3. Step 3: Cross multiply
    532,357.30x = 734,643.43 × 302,909.61
  4. Step 4: Simplify right side
    532,357.30x = 222,530,554,870.36
  5. Step 5: Solve for x
    x = 222,530,554,870.36/532,357.30
  6. Step 6: Final answer
    x = 418,009.77

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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.