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Finding the Fourth Proportional to 284,047.20, 426,070.80 and 143,787.60

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Solution

The fourth proportional to 284,047.20, 426,070.80 and 143,787.60 is: 215,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,047.20 : 426,070.80 = 143,787.60 : x
  2. Step 2: Convert to fraction form
    284,047.20/426,070.80 = 143,787.60/x
  3. Step 3: Cross multiply
    284,047.20x = 426,070.80 × 143,787.60
  4. Step 4: Simplify right side
    284,047.20x = 61,263,697,762.08
  5. Step 5: Solve for x
    x = 61,263,697,762.08/284,047.20
  6. Step 6: Final answer
    x = 215,681.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.