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Finding the Fourth Proportional to 704,089.12, 971,694.48 and 402,276.64

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Solution

The fourth proportional to 704,089.12, 971,694.48 and 402,276.64 is: 555,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,089.12 : 971,694.48 = 402,276.64 : x
  2. Step 2: Convert to fraction form
    704,089.12/971,694.48 = 402,276.64/x
  3. Step 3: Cross multiply
    704,089.12x = 971,694.48 × 402,276.64
  4. Step 4: Simplify right side
    704,089.12x = 390,889,990,520.95
  5. Step 5: Solve for x
    x = 390,889,990,520.95/704,089.12
  6. Step 6: Final answer
    x = 555,171.18

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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.