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Finding the Fourth Proportional to 507,864.94, 700,849.12 and 278,418.04

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Solution

The fourth proportional to 507,864.94, 700,849.12 and 278,418.04 is: 384,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,864.94 : 700,849.12 = 278,418.04 : x
  2. Step 2: Convert to fraction form
    507,864.94/700,849.12 = 278,418.04/x
  3. Step 3: Cross multiply
    507,864.94x = 700,849.12 × 278,418.04
  4. Step 4: Simplify right side
    507,864.94x = 195,129,038,326.13
  5. Step 5: Solve for x
    x = 195,129,038,326.13/507,864.94
  6. Step 6: Final answer
    x = 384,214.43

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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.