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Finding the Fourth Proportional to 707,578.12, 1,061,364.78 and 286,853

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Solution

The fourth proportional to 707,578.12, 1,061,364.78 and 286,853 is: 430,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,578.12 : 1,061,364.78 = 286,853 : x
  2. Step 2: Convert to fraction form
    707,578.12/1,061,364.78 = 286,853/x
  3. Step 3: Cross multiply
    707,578.12x = 1,061,364.78 × 286,853
  4. Step 4: Simplify right side
    707,578.12x = 304,455,671,237.34
  5. Step 5: Solve for x
    x = 304,455,671,237.34/707,578.12
  6. Step 6: Final answer
    x = 430,278.53

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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.