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Finding the Fourth Proportional to 461,947, 637,487.18 and 249,979

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Solution

The fourth proportional to 461,947, 637,487.18 and 249,979 is: 344,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,947 : 637,487.18 = 249,979 : x
  2. Step 2: Convert to fraction form
    461,947/637,487.18 = 249,979/x
  3. Step 3: Cross multiply
    461,947x = 637,487.18 × 249,979
  4. Step 4: Simplify right side
    461,947x = 159,358,407,769.22
  5. Step 5: Solve for x
    x = 159,358,407,769.22/461,947
  6. Step 6: Final answer
    x = 344,971.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.