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Finding the Fourth Proportional to 565,528.80, 780,410 and 310,878.16

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Solution

The fourth proportional to 565,528.80, 780,410 and 310,878.16 is: 429,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,528.80 : 780,410 = 310,878.16 : x
  2. Step 2: Convert to fraction form
    565,528.80/780,410 = 310,878.16/x
  3. Step 3: Cross multiply
    565,528.80x = 780,410 × 310,878.16
  4. Step 4: Simplify right side
    565,528.80x = 242,612,424,845.60
  5. Step 5: Solve for x
    x = 242,612,424,845.60/565,528.80
  6. Step 6: Final answer
    x = 429,001.01

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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.