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Finding the Fourth Proportional to 557,038.80, 768,811.72 and 315,335.12

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Solution

The fourth proportional to 557,038.80, 768,811.72 and 315,335.12 is: 435,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,038.80 : 768,811.72 = 315,335.12 : x
  2. Step 2: Convert to fraction form
    557,038.80/768,811.72 = 315,335.12/x
  3. Step 3: Cross multiply
    557,038.80x = 768,811.72 × 315,335.12
  4. Step 4: Simplify right side
    557,038.80x = 242,433,335,983.61
  5. Step 5: Solve for x
    x = 242,433,335,983.61/557,038.80
  6. Step 6: Final answer
    x = 435,218.04

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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.