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Finding the Fourth Proportional to 389,624, 537,681.12 and 210,776

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Solution

The fourth proportional to 389,624, 537,681.12 and 210,776 is: 290,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,624 : 537,681.12 = 210,776 : x
  2. Step 2: Convert to fraction form
    389,624/537,681.12 = 210,776/x
  3. Step 3: Cross multiply
    389,624x = 537,681.12 × 210,776
  4. Step 4: Simplify right side
    389,624x = 113,330,275,749.12
  5. Step 5: Solve for x
    x = 113,330,275,749.12/389,624
  6. Step 6: Final answer
    x = 290,870.88

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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.