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Finding the Fourth Proportional to 583,530, 805,271.40 and 315,258

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Solution

The fourth proportional to 583,530, 805,271.40 and 315,258 is: 435,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,530 : 805,271.40 = 315,258 : x
  2. Step 2: Convert to fraction form
    583,530/805,271.40 = 315,258/x
  3. Step 3: Cross multiply
    583,530x = 805,271.40 × 315,258
  4. Step 4: Simplify right side
    583,530x = 253,868,251,021.20
  5. Step 5: Solve for x
    x = 253,868,251,021.20/583,530
  6. Step 6: Final answer
    x = 435,056.04

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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.