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Finding the Fourth Proportional to 531,101.41, 732,920.03 and 289,384.01

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Solution

The fourth proportional to 531,101.41, 732,920.03 and 289,384.01 is: 399,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,101.41 : 732,920.03 = 289,384.01 : x
  2. Step 2: Convert to fraction form
    531,101.41/732,920.03 = 289,384.01/x
  3. Step 3: Cross multiply
    531,101.41x = 732,920.03 × 289,384.01
  4. Step 4: Simplify right side
    531,101.41x = 212,095,337,290.72
  5. Step 5: Solve for x
    x = 212,095,337,290.72/531,101.41
  6. Step 6: Final answer
    x = 399,349.98

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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.