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Finding the Fourth Proportional to 521,408, 719,543.04 and 282,944

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Solution

The fourth proportional to 521,408, 719,543.04 and 282,944 is: 390,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,408 : 719,543.04 = 282,944 : x
  2. Step 2: Convert to fraction form
    521,408/719,543.04 = 282,944/x
  3. Step 3: Cross multiply
    521,408x = 719,543.04 × 282,944
  4. Step 4: Simplify right side
    521,408x = 203,590,385,909.76
  5. Step 5: Solve for x
    x = 203,590,385,909.76/521,408
  6. Step 6: Final answer
    x = 390,462.72

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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.