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Finding the Fourth Proportional to 425,871.60, 637,478.46 and 313,678.50

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Solution

The fourth proportional to 425,871.60, 637,478.46 and 313,678.50 is: 469,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,871.60 : 637,478.46 = 313,678.50 : x
  2. Step 2: Convert to fraction form
    425,871.60/637,478.46 = 313,678.50/x
  3. Step 3: Cross multiply
    425,871.60x = 637,478.46 × 313,678.50
  4. Step 4: Simplify right side
    425,871.60x = 199,963,287,115.11
  5. Step 5: Solve for x
    x = 199,963,287,115.11/425,871.60
  6. Step 6: Final answer
    x = 469,538.91

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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.