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Finding the Fourth Proportional to 585,256.32, 807,657.60 and 316,984.32

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Solution

The fourth proportional to 585,256.32, 807,657.60 and 316,984.32 is: 437,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,256.32 : 807,657.60 = 316,984.32 : x
  2. Step 2: Convert to fraction form
    585,256.32/807,657.60 = 316,984.32/x
  3. Step 3: Cross multiply
    585,256.32x = 807,657.60 × 316,984.32
  4. Step 4: Simplify right side
    585,256.32x = 256,014,795,128.83
  5. Step 5: Solve for x
    x = 256,014,795,128.83/585,256.32
  6. Step 6: Final answer
    x = 437,440.46

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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.