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Finding the Fourth Proportional to 650,335.78, 975,087.42 and 312,703.93

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Solution

The fourth proportional to 650,335.78, 975,087.42 and 312,703.93 is: 468,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,335.78 : 975,087.42 = 312,703.93 : x
  2. Step 2: Convert to fraction form
    650,335.78/975,087.42 = 312,703.93/x
  3. Step 3: Cross multiply
    650,335.78x = 975,087.42 × 312,703.93
  4. Step 4: Simplify right side
    650,335.78x = 304,913,668,327.56
  5. Step 5: Solve for x
    x = 304,913,668,327.56/650,335.78
  6. Step 6: Final answer
    x = 468,855.75

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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.