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Finding the Fourth Proportional to 565,562, 780,480.36 and 310,907.60

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Solution

The fourth proportional to 565,562, 780,480.36 and 310,907.60 is: 429,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,562 : 780,480.36 = 310,907.60 : x
  2. Step 2: Convert to fraction form
    565,562/780,480.36 = 310,907.60/x
  3. Step 3: Cross multiply
    565,562x = 780,480.36 × 310,907.60
  4. Step 4: Simplify right side
    565,562x = 242,657,275,574.74
  5. Step 5: Solve for x
    x = 242,657,275,574.74/565,562
  6. Step 6: Final answer
    x = 429,055.13

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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.