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Finding the Fourth Proportional to 557,503.76, 769,264 and 328,254.24

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Solution

The fourth proportional to 557,503.76, 769,264 and 328,254.24 is: 452,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,503.76 : 769,264 = 328,254.24 : x
  2. Step 2: Convert to fraction form
    557,503.76/769,264 = 328,254.24/x
  3. Step 3: Cross multiply
    557,503.76x = 769,264 × 328,254.24
  4. Step 4: Simplify right side
    557,503.76x = 252,514,169,679.36
  5. Step 5: Solve for x
    x = 252,514,169,679.36/557,503.76
  6. Step 6: Final answer
    x = 452,937.16

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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.