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Finding the Fourth Proportional to 475,385.40, 713,078.10 and 438,060.60

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Solution

The fourth proportional to 475,385.40, 713,078.10 and 438,060.60 is: 657,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,385.40 : 713,078.10 = 438,060.60 : x
  2. Step 2: Convert to fraction form
    475,385.40/713,078.10 = 438,060.60/x
  3. Step 3: Cross multiply
    475,385.40x = 713,078.10 × 438,060.60
  4. Step 4: Simplify right side
    475,385.40x = 312,371,420,332.86
  5. Step 5: Solve for x
    x = 312,371,420,332.86/475,385.40
  6. Step 6: Final answer
    x = 657,090.90

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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.