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Finding the Fourth Proportional to 526,272, 726,272.64 and 287,808

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Solution

The fourth proportional to 526,272, 726,272.64 and 287,808 is: 397,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,272 : 726,272.64 = 287,808 : x
  2. Step 2: Convert to fraction form
    526,272/726,272.64 = 287,808/x
  3. Step 3: Cross multiply
    526,272x = 726,272.64 × 287,808
  4. Step 4: Simplify right side
    526,272x = 209,027,075,973.12
  5. Step 5: Solve for x
    x = 209,027,075,973.12/526,272
  6. Step 6: Final answer
    x = 397,184.49

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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.