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Finding the Fourth Proportional to 377,514.51, 520,970.12 and 207,748.64

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Solution

The fourth proportional to 377,514.51, 520,970.12 and 207,748.64 is: 286,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,514.51 : 520,970.12 = 207,748.64 : x
  2. Step 2: Convert to fraction form
    377,514.51/520,970.12 = 207,748.64/x
  3. Step 3: Cross multiply
    377,514.51x = 520,970.12 × 207,748.64
  4. Step 4: Simplify right side
    377,514.51x = 108,230,831,569.47
  5. Step 5: Solve for x
    x = 108,230,831,569.47/377,514.51
  6. Step 6: Final answer
    x = 286,693.17

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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.