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Finding the Fourth Proportional to 704,090.12, 971,695.86 and 402,277.64

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Solution

The fourth proportional to 704,090.12, 971,695.86 and 402,277.64 is: 555,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,090.12 : 971,695.86 = 402,277.64 : x
  2. Step 2: Convert to fraction form
    704,090.12/971,695.86 = 402,277.64/x
  3. Step 3: Cross multiply
    704,090.12x = 971,695.86 × 402,277.64
  4. Step 4: Simplify right side
    704,090.12x = 390,891,517,358.57
  5. Step 5: Solve for x
    x = 390,891,517,358.57/704,090.12
  6. Step 6: Final answer
    x = 555,172.56

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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.