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Finding the Fourth Proportional to 532,103.77, 734,305.71 and 290,391.40

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Solution

The fourth proportional to 532,103.77, 734,305.71 and 290,391.40 is: 400,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,103.77 : 734,305.71 = 290,391.40 : x
  2. Step 2: Convert to fraction form
    532,103.77/734,305.71 = 290,391.40/x
  3. Step 3: Cross multiply
    532,103.77x = 734,305.71 × 290,391.40
  4. Step 4: Simplify right side
    532,103.77x = 213,236,063,154.89
  5. Step 5: Solve for x
    x = 213,236,063,154.89/532,103.77
  6. Step 6: Final answer
    x = 400,741.50

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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.