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Finding the Fourth Proportional to 509,938.80, 765,017.55 and 154,988.70

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Solution

The fourth proportional to 509,938.80, 765,017.55 and 154,988.70 is: 232,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,938.80 : 765,017.55 = 154,988.70 : x
  2. Step 2: Convert to fraction form
    509,938.80/765,017.55 = 154,988.70/x
  3. Step 3: Cross multiply
    509,938.80x = 765,017.55 × 154,988.70
  4. Step 4: Simplify right side
    509,938.80x = 118,569,075,551.69
  5. Step 5: Solve for x
    x = 118,569,075,551.69/509,938.80
  6. Step 6: Final answer
    x = 232,516.29

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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.