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Finding the Fourth Proportional to 704,263.14, 971,905.10 and 398,333.50

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Solution

The fourth proportional to 704,263.14, 971,905.10 and 398,333.50 is: 549,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,263.14 : 971,905.10 = 398,333.50 : x
  2. Step 2: Convert to fraction form
    704,263.14/971,905.10 = 398,333.50/x
  3. Step 3: Cross multiply
    704,263.14x = 971,905.10 × 398,333.50
  4. Step 4: Simplify right side
    704,263.14x = 387,142,355,729.42
  5. Step 5: Solve for x
    x = 387,142,355,729.42/704,263.14
  6. Step 6: Final answer
    x = 549,712.65

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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.