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Finding the Fourth Proportional to 249,643.17, 374,464.80 and 83,431.17

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Solution

The fourth proportional to 249,643.17, 374,464.80 and 83,431.17 is: 125,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,643.17 : 374,464.80 = 83,431.17 : x
  2. Step 2: Convert to fraction form
    249,643.17/374,464.80 = 83,431.17/x
  3. Step 3: Cross multiply
    249,643.17x = 374,464.80 × 83,431.17
  4. Step 4: Simplify right side
    249,643.17x = 31,242,036,387.82
  5. Step 5: Solve for x
    x = 31,242,036,387.82/249,643.17
  6. Step 6: Final answer
    x = 125,146.77

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1.5x scale

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.