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Finding the Fourth Proportional to 565,485.16, 780,329.70 and 310,852.84

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Solution

The fourth proportional to 565,485.16, 780,329.70 and 310,852.84 is: 428,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,485.16 : 780,329.70 = 310,852.84 : x
  2. Step 2: Convert to fraction form
    565,485.16/780,329.70 = 310,852.84/x
  3. Step 3: Cross multiply
    565,485.16x = 780,329.70 × 310,852.84
  4. Step 4: Simplify right side
    565,485.16x = 242,567,703,381.35
  5. Step 5: Solve for x
    x = 242,567,703,381.35/565,485.16
  6. Step 6: Final answer
    x = 428,955.03

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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.