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Finding the Fourth Proportional to 526,944, 727,182.72 and 288,480

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Solution

The fourth proportional to 526,944, 727,182.72 and 288,480 is: 398,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,944 : 727,182.72 = 288,480 : x
  2. Step 2: Convert to fraction form
    526,944/727,182.72 = 288,480/x
  3. Step 3: Cross multiply
    526,944x = 727,182.72 × 288,480
  4. Step 4: Simplify right side
    526,944x = 209,777,671,065.60
  5. Step 5: Solve for x
    x = 209,777,671,065.60/526,944
  6. Step 6: Final answer
    x = 398,102.40

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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.