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Finding the Fourth Proportional to 704,310.72, 971,943.12 and 382,020

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Solution

The fourth proportional to 704,310.72, 971,943.12 and 382,020 is: 527,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,310.72 : 971,943.12 = 382,020 : x
  2. Step 2: Convert to fraction form
    704,310.72/971,943.12 = 382,020/x
  3. Step 3: Cross multiply
    704,310.72x = 971,943.12 × 382,020
  4. Step 4: Simplify right side
    704,310.72x = 371,301,710,702.40
  5. Step 5: Solve for x
    x = 371,301,710,702.40/704,310.72
  6. Step 6: Final answer
    x = 527,184.52

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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.