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Finding the Fourth Proportional to 319,852.08, 478,594.17 and 256,478.40

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Solution

The fourth proportional to 319,852.08, 478,594.17 and 256,478.40 is: 383,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,852.08 : 478,594.17 = 256,478.40 : x
  2. Step 2: Convert to fraction form
    319,852.08/478,594.17 = 256,478.40/x
  3. Step 3: Cross multiply
    319,852.08x = 478,594.17 × 256,478.40
  4. Step 4: Simplify right side
    319,852.08x = 122,749,066,970.93
  5. Step 5: Solve for x
    x = 122,749,066,970.93/319,852.08
  6. Step 6: Final answer
    x = 383,768.23

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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.