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Finding the Fourth Proportional to 256,461.32, 384,643.66 and 69,448.20

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Solution

The fourth proportional to 256,461.32, 384,643.66 and 69,448.20 is: 104,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,461.32 : 384,643.66 = 69,448.20 : x
  2. Step 2: Convert to fraction form
    256,461.32/384,643.66 = 69,448.20/x
  3. Step 3: Cross multiply
    256,461.32x = 384,643.66 × 69,448.20
  4. Step 4: Simplify right side
    256,461.32x = 26,712,809,828.41
  5. Step 5: Solve for x
    x = 26,712,809,828.41/256,461.32
  6. Step 6: Final answer
    x = 104,159.22

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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.