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Finding the Fourth Proportional to 611,254.64, 916,760.66 and 307,567.82

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Solution

The fourth proportional to 611,254.64, 916,760.66 and 307,567.82 is: 461,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,254.64 : 916,760.66 = 307,567.82 : x
  2. Step 2: Convert to fraction form
    611,254.64/916,760.66 = 307,567.82/x
  3. Step 3: Cross multiply
    611,254.64x = 916,760.66 × 307,567.82
  4. Step 4: Simplify right side
    611,254.64x = 281,966,071,536.32
  5. Step 5: Solve for x
    x = 281,966,071,536.32/611,254.64
  6. Step 6: Final answer
    x = 461,290.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.