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Finding the Fourth Proportional to 256,689.81, 384,619.19 and 156,547.08

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Solution

The fourth proportional to 256,689.81, 384,619.19 and 156,547.08 is: 234,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,689.81 : 384,619.19 = 156,547.08 : x
  2. Step 2: Convert to fraction form
    256,689.81/384,619.19 = 156,547.08/x
  3. Step 3: Cross multiply
    256,689.81x = 384,619.19 × 156,547.08
  4. Step 4: Simplify right side
    256,689.81x = 60,211,010,323.73
  5. Step 5: Solve for x
    x = 60,211,010,323.73/256,689.81
  6. Step 6: Final answer
    x = 234,567.20

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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.