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Finding the Fourth Proportional to 565,403.64, 780,271.88 and 310,761.60

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Solution

The fourth proportional to 565,403.64, 780,271.88 and 310,761.60 is: 428,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,403.64 : 780,271.88 = 310,761.60 : x
  2. Step 2: Convert to fraction form
    565,403.64/780,271.88 = 310,761.60/x
  3. Step 3: Cross multiply
    565,403.64x = 780,271.88 × 310,761.60
  4. Step 4: Simplify right side
    565,403.64x = 242,478,537,863.81
  5. Step 5: Solve for x
    x = 242,478,537,863.81/565,403.64
  6. Step 6: Final answer
    x = 428,859.17

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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.