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Finding the Fourth Proportional to 413,712.80, 621,152.40 and 256,248.80

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Solution

The fourth proportional to 413,712.80, 621,152.40 and 256,248.80 is: 384,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,712.80 : 621,152.40 = 256,248.80 : x
  2. Step 2: Convert to fraction form
    413,712.80/621,152.40 = 256,248.80/x
  3. Step 3: Cross multiply
    413,712.80x = 621,152.40 × 256,248.80
  4. Step 4: Simplify right side
    413,712.80x = 159,169,557,117.12
  5. Step 5: Solve for x
    x = 159,169,557,117.12/413,712.80
  6. Step 6: Final answer
    x = 384,734.43

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1.5x scale

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.