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Finding the Fourth Proportional to 930,320, 1,395,492.96 and 265,472

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Solution

The fourth proportional to 930,320, 1,395,492.96 and 265,472 is: 398,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,320 : 1,395,492.96 = 265,472 : x
  2. Step 2: Convert to fraction form
    930,320/1,395,492.96 = 265,472/x
  3. Step 3: Cross multiply
    930,320x = 1,395,492.96 × 265,472
  4. Step 4: Simplify right side
    930,320x = 370,464,307,077.12
  5. Step 5: Solve for x
    x = 370,464,307,077.12/930,320
  6. Step 6: Final answer
    x = 398,211.70

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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.