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Finding the Fourth Proportional to 586,436.35, 809,378.94 and 402,523.78

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Solution

The fourth proportional to 586,436.35, 809,378.94 and 402,523.78 is: 555,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,436.35 : 809,378.94 = 402,523.78 : x
  2. Step 2: Convert to fraction form
    586,436.35/809,378.94 = 402,523.78/x
  3. Step 3: Cross multiply
    586,436.35x = 809,378.94 × 402,523.78
  4. Step 4: Simplify right side
    586,436.35x = 325,794,270,381.19
  5. Step 5: Solve for x
    x = 325,794,270,381.19/586,436.35
  6. Step 6: Final answer
    x = 555,549.24

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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.