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Finding the Fourth Proportional to 249,496.32, 374,300.64 and 83,280

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Solution

The fourth proportional to 249,496.32, 374,300.64 and 83,280 is: 124,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,496.32 : 374,300.64 = 83,280 : x
  2. Step 2: Convert to fraction form
    249,496.32/374,300.64 = 83,280/x
  3. Step 3: Cross multiply
    249,496.32x = 374,300.64 × 83,280
  4. Step 4: Simplify right side
    249,496.32x = 31,171,757,299.20
  5. Step 5: Solve for x
    x = 31,171,757,299.20/249,496.32
  6. Step 6: Final answer
    x = 124,938.75

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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.