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Finding the Fourth Proportional to 501,686.16, 692,651.16 and 310,902

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Solution

The fourth proportional to 501,686.16, 692,651.16 and 310,902 is: 429,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,686.16 : 692,651.16 = 310,902 : x
  2. Step 2: Convert to fraction form
    501,686.16/692,651.16 = 310,902/x
  3. Step 3: Cross multiply
    501,686.16x = 692,651.16 × 310,902
  4. Step 4: Simplify right side
    501,686.16x = 215,346,630,946.32
  5. Step 5: Solve for x
    x = 215,346,630,946.32/501,686.16
  6. Step 6: Final answer
    x = 429,245.71

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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.