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Finding the Fourth Proportional to 538,386.66, 743,006.16 and 296,668.89

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Solution

The fourth proportional to 538,386.66, 743,006.16 and 296,668.89 is: 409,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,386.66 : 743,006.16 = 296,668.89 : x
  2. Step 2: Convert to fraction form
    538,386.66/743,006.16 = 296,668.89/x
  3. Step 3: Cross multiply
    538,386.66x = 743,006.16 × 296,668.89
  4. Step 4: Simplify right side
    538,386.66x = 220,426,812,750.36
  5. Step 5: Solve for x
    x = 220,426,812,750.36/538,386.66
  6. Step 6: Final answer
    x = 409,421.01

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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.