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Finding the Fourth Proportional to 645,875.20, 967,891.20 and 476,070.40

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Solution

The fourth proportional to 645,875.20, 967,891.20 and 476,070.40 is: 713,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,875.20 : 967,891.20 = 476,070.40 : x
  2. Step 2: Convert to fraction form
    645,875.20/967,891.20 = 476,070.40/x
  3. Step 3: Cross multiply
    645,875.20x = 967,891.20 × 476,070.40
  4. Step 4: Simplify right side
    645,875.20x = 460,784,350,740.48
  5. Step 5: Solve for x
    x = 460,784,350,740.48/645,875.20
  6. Step 6: Final answer
    x = 713,426.29

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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.