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Finding the Fourth Proportional to 631,405.60, 946,452.30 and 346,658.20

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Solution

The fourth proportional to 631,405.60, 946,452.30 and 346,658.20 is: 519,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,405.60 : 946,452.30 = 346,658.20 : x
  2. Step 2: Convert to fraction form
    631,405.60/946,452.30 = 346,658.20/x
  3. Step 3: Cross multiply
    631,405.60x = 946,452.30 × 346,658.20
  4. Step 4: Simplify right side
    631,405.60x = 328,095,450,703.86
  5. Step 5: Solve for x
    x = 328,095,450,703.86/631,405.60
  6. Step 6: Final answer
    x = 519,627.08

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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.