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Finding the Fourth Proportional to 438,085.53, 604,565.91 and 256,928.15

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Solution

The fourth proportional to 438,085.53, 604,565.91 and 256,928.15 is: 354,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,085.53 : 604,565.91 = 256,928.15 : x
  2. Step 2: Convert to fraction form
    438,085.53/604,565.91 = 256,928.15/x
  3. Step 3: Cross multiply
    438,085.53x = 604,565.91 × 256,928.15
  4. Step 4: Simplify right side
    438,085.53x = 155,330,002,320.78
  5. Step 5: Solve for x
    x = 155,330,002,320.78/438,085.53
  6. Step 6: Final answer
    x = 354,565.47

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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.