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Finding the Fourth Proportional to 450,071.52, 620,534.16 and 288,641.76

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Solution

The fourth proportional to 450,071.52, 620,534.16 and 288,641.76 is: 397,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,071.52 : 620,534.16 = 288,641.76 : x
  2. Step 2: Convert to fraction form
    450,071.52/620,534.16 = 288,641.76/x
  3. Step 3: Cross multiply
    450,071.52x = 620,534.16 × 288,641.76
  4. Step 4: Simplify right side
    450,071.52x = 179,112,072,082.52
  5. Step 5: Solve for x
    x = 179,112,072,082.52/450,071.52
  6. Step 6: Final answer
    x = 397,963.58

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1.5x scale

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.