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Finding the Fourth Proportional to 688,547, 950,283.96 and 386,741

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Solution

The fourth proportional to 688,547, 950,283.96 and 386,741 is: 533,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,547 : 950,283.96 = 386,741 : x
  2. Step 2: Convert to fraction form
    688,547/950,283.96 = 386,741/x
  3. Step 3: Cross multiply
    688,547x = 950,283.96 × 386,741
  4. Step 4: Simplify right side
    688,547x = 367,513,768,974.36
  5. Step 5: Solve for x
    x = 367,513,768,974.36/688,547
  6. Step 6: Final answer
    x = 533,752.63

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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.