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Finding the Fourth Proportional to 249,631.40, 374,447.10 and 83,419.40

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Solution

The fourth proportional to 249,631.40, 374,447.10 and 83,419.40 is: 125,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,631.40 : 374,447.10 = 83,419.40 : x
  2. Step 2: Convert to fraction form
    249,631.40/374,447.10 = 83,419.40/x
  3. Step 3: Cross multiply
    249,631.40x = 374,447.10 × 83,419.40
  4. Step 4: Simplify right side
    249,631.40x = 31,236,152,413.74
  5. Step 5: Solve for x
    x = 31,236,152,413.74/249,631.40
  6. Step 6: Final answer
    x = 125,129.10

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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.