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Finding the Fourth Proportional to 551,167.04, 760,551.76 and 309,476

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Solution

The fourth proportional to 551,167.04, 760,551.76 and 309,476 is: 427,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,167.04 : 760,551.76 = 309,476 : x
  2. Step 2: Convert to fraction form
    551,167.04/760,551.76 = 309,476/x
  3. Step 3: Cross multiply
    551,167.04x = 760,551.76 × 309,476
  4. Step 4: Simplify right side
    551,167.04x = 235,372,516,477.76
  5. Step 5: Solve for x
    x = 235,372,516,477.76/551,167.04
  6. Step 6: Final answer
    x = 427,043.89

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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.