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Finding the Fourth Proportional to 460,509.71, 635,487.32 and 256,550.09

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Solution

The fourth proportional to 460,509.71, 635,487.32 and 256,550.09 is: 354,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,509.71 : 635,487.32 = 256,550.09 : x
  2. Step 2: Convert to fraction form
    460,509.71/635,487.32 = 256,550.09/x
  3. Step 3: Cross multiply
    460,509.71x = 635,487.32 × 256,550.09
  4. Step 4: Simplify right side
    460,509.71x = 163,034,326,603.80
  5. Step 5: Solve for x
    x = 163,034,326,603.80/460,509.71
  6. Step 6: Final answer
    x = 354,030.16

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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.