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Finding the Fourth Proportional to 532,055.32, 734,230.29 and 290,342

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Solution

The fourth proportional to 532,055.32, 734,230.29 and 290,342 is: 400,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,055.32 : 734,230.29 = 290,342 : x
  2. Step 2: Convert to fraction form
    532,055.32/734,230.29 = 290,342/x
  3. Step 3: Cross multiply
    532,055.32x = 734,230.29 × 290,342
  4. Step 4: Simplify right side
    532,055.32x = 213,177,890,859.18
  5. Step 5: Solve for x
    x = 213,177,890,859.18/532,055.32
  6. Step 6: Final answer
    x = 400,668.66

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1.5x scale

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.