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Finding the Fourth Proportional to 518,988.81, 778,506.65 and 159,133.40

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Solution

The fourth proportional to 518,988.81, 778,506.65 and 159,133.40 is: 238,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,988.81 : 778,506.65 = 159,133.40 : x
  2. Step 2: Convert to fraction form
    518,988.81/778,506.65 = 159,133.40/x
  3. Step 3: Cross multiply
    518,988.81x = 778,506.65 × 159,133.40
  4. Step 4: Simplify right side
    518,988.81x = 123,886,406,819.88
  5. Step 5: Solve for x
    x = 123,886,406,819.88/518,988.81
  6. Step 6: Final answer
    x = 238,707.28

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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.