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Finding the Fourth Proportional to 584,032.78, 805,966.44 and 315,760.78

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Solution

The fourth proportional to 584,032.78, 805,966.44 and 315,760.78 is: 435,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,032.78 : 805,966.44 = 315,760.78 : x
  2. Step 2: Convert to fraction form
    584,032.78/805,966.44 = 315,760.78/x
  3. Step 3: Cross multiply
    584,032.78x = 805,966.44 × 315,760.78
  4. Step 4: Simplify right side
    584,032.78x = 254,492,591,748.22
  5. Step 5: Solve for x
    x = 254,492,591,748.22/584,032.78
  6. Step 6: Final answer
    x = 435,750.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.