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Finding the Fourth Proportional to 661,398.24, 912,733.74 and 389,478

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Solution

The fourth proportional to 661,398.24, 912,733.74 and 389,478 is: 537,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,398.24 : 912,733.74 = 389,478 : x
  2. Step 2: Convert to fraction form
    661,398.24/912,733.74 = 389,478/x
  3. Step 3: Cross multiply
    661,398.24x = 912,733.74 × 389,478
  4. Step 4: Simplify right side
    661,398.24x = 355,489,711,587.72
  5. Step 5: Solve for x
    x = 355,489,711,587.72/661,398.24
  6. Step 6: Final answer
    x = 537,482.09

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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.