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Finding the Fourth Proportional to 256,547.40, 384,821.10 and 249,986.40

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Solution

The fourth proportional to 256,547.40, 384,821.10 and 249,986.40 is: 374,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,547.40 : 384,821.10 = 249,986.40 : x
  2. Step 2: Convert to fraction form
    256,547.40/384,821.10 = 249,986.40/x
  3. Step 3: Cross multiply
    256,547.40x = 384,821.10 × 249,986.40
  4. Step 4: Simplify right side
    256,547.40x = 96,200,041,433.04
  5. Step 5: Solve for x
    x = 96,200,041,433.04/256,547.40
  6. Step 6: Final answer
    x = 374,979.60

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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.