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Finding the Fourth Proportional to 178,689,138.40, 249,654,610.40 and 178,689,138.40

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Solution

The fourth proportional to 178,689,138.40, 249,654,610.40 and 178,689,138.40 is: 249,654,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,689,138.40 : 249,654,610.40 = 178,689,138.40 : x
  2. Step 2: Convert to fraction form
    178,689,138.40/249,654,610.40 = 178,689,138.40/x
  3. Step 3: Cross multiply
    178,689,138.40x = 249,654,610.40 × 178,689,138.40
  4. Step 4: Simplify right side
    178,689,138.40x = 44,610,567,229,963,680
  5. Step 5: Solve for x
    x = 44,610,567,229,963,680/178,689,138.40
  6. Step 6: Final answer
    x = 249,654,610.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.