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Finding the Fourth Proportional to 389,435, 537,420.32 and 210,587

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Solution

The fourth proportional to 389,435, 537,420.32 and 210,587 is: 290,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,435 : 537,420.32 = 210,587 : x
  2. Step 2: Convert to fraction form
    389,435/537,420.32 = 210,587/x
  3. Step 3: Cross multiply
    389,435x = 537,420.32 × 210,587
  4. Step 4: Simplify right side
    389,435x = 113,173,732,927.84
  5. Step 5: Solve for x
    x = 113,173,732,927.84/389,435
  6. Step 6: Final answer
    x = 290,610.07

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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.