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Finding the Fourth Proportional to 704,718.40, 1,057,390.80 and 284,814.40

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Solution

The fourth proportional to 704,718.40, 1,057,390.80 and 284,814.40 is: 427,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,718.40 : 1,057,390.80 = 284,814.40 : x
  2. Step 2: Convert to fraction form
    704,718.40/1,057,390.80 = 284,814.40/x
  3. Step 3: Cross multiply
    704,718.40x = 1,057,390.80 × 284,814.40
  4. Step 4: Simplify right side
    704,718.40x = 301,160,126,267.52
  5. Step 5: Solve for x
    x = 301,160,126,267.52/704,718.40
  6. Step 6: Final answer
    x = 427,348.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.