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Finding the Fourth Proportional to 549,306, 757,978.47 and 319,913.42

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Solution

The fourth proportional to 549,306, 757,978.47 and 319,913.42 is: 441,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,306 : 757,978.47 = 319,913.42 : x
  2. Step 2: Convert to fraction form
    549,306/757,978.47 = 319,913.42/x
  3. Step 3: Cross multiply
    549,306x = 757,978.47 × 319,913.42
  4. Step 4: Simplify right side
    549,306x = 242,487,480,834.18
  5. Step 5: Solve for x
    x = 242,487,480,834.18/549,306
  6. Step 6: Final answer
    x = 441,443.35

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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.