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Finding the Fourth Proportional to 685,898.60, 946,598.21 and 380,070.90

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Solution

The fourth proportional to 685,898.60, 946,598.21 and 380,070.90 is: 524,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,898.60 : 946,598.21 = 380,070.90 : x
  2. Step 2: Convert to fraction form
    685,898.60/946,598.21 = 380,070.90/x
  3. Step 3: Cross multiply
    685,898.60x = 946,598.21 × 380,070.90
  4. Step 4: Simplify right side
    685,898.60x = 359,774,431,712.74
  5. Step 5: Solve for x
    x = 359,774,431,712.74/685,898.60
  6. Step 6: Final answer
    x = 524,530.06

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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.