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Finding the Fourth Proportional to 710,147, 980,032.02 and 408,341

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Solution

The fourth proportional to 710,147, 980,032.02 and 408,341 is: 563,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,147 : 980,032.02 = 408,341 : x
  2. Step 2: Convert to fraction form
    710,147/980,032.02 = 408,341/x
  3. Step 3: Cross multiply
    710,147x = 980,032.02 × 408,341
  4. Step 4: Simplify right side
    710,147x = 400,187,255,078.82
  5. Step 5: Solve for x
    x = 400,187,255,078.82/710,147
  6. Step 6: Final answer
    x = 563,527.35

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1.5x scale

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.