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Finding the Fourth Proportional to 256,287.52, 353,554.08 and 160,746.40

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Solution

The fourth proportional to 256,287.52, 353,554.08 and 160,746.40 is: 221,753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,287.52 : 353,554.08 = 160,746.40 : x
  2. Step 2: Convert to fraction form
    256,287.52/353,554.08 = 160,746.40/x
  3. Step 3: Cross multiply
    256,287.52x = 353,554.08 × 160,746.40
  4. Step 4: Simplify right side
    256,287.52x = 56,832,545,565.31
  5. Step 5: Solve for x
    x = 56,832,545,565.31/256,287.52
  6. Step 6: Final answer
    x = 221,753.07

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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.