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Finding the Fourth Proportional to 287,931.44, 431,712.11 and 119,567.95

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Solution

The fourth proportional to 287,931.44, 431,712.11 and 119,567.95 is: 179,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,931.44 : 431,712.11 = 119,567.95 : x
  2. Step 2: Convert to fraction form
    287,931.44/431,712.11 = 119,567.95/x
  3. Step 3: Cross multiply
    287,931.44x = 431,712.11 × 119,567.95
  4. Step 4: Simplify right side
    287,931.44x = 51,618,931,202.51
  5. Step 5: Solve for x
    x = 51,618,931,202.51/287,931.44
  6. Step 6: Final answer
    x = 179,275.08

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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.