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Finding the Fourth Proportional to 661,438.94, 912,715.84 and 389,489

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Solution

The fourth proportional to 661,438.94, 912,715.84 and 389,489 is: 537,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,438.94 : 912,715.84 = 389,489 : x
  2. Step 2: Convert to fraction form
    661,438.94/912,715.84 = 389,489/x
  3. Step 3: Cross multiply
    661,438.94x = 912,715.84 × 389,489
  4. Step 4: Simplify right side
    661,438.94x = 355,492,779,805.76
  5. Step 5: Solve for x
    x = 355,492,779,805.76/661,438.94
  6. Step 6: Final answer
    x = 537,453.66

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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.