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Finding the Fourth Proportional to 460,970.64, 636,093 and 257,002.38

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Solution

The fourth proportional to 460,970.64, 636,093 and 257,002.38 is: 354,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,970.64 : 636,093 = 257,002.38 : x
  2. Step 2: Convert to fraction form
    460,970.64/636,093 = 257,002.38/x
  3. Step 3: Cross multiply
    460,970.64x = 636,093 × 257,002.38
  4. Step 4: Simplify right side
    460,970.64x = 163,477,414,901.34
  5. Step 5: Solve for x
    x = 163,477,414,901.34/460,970.64
  6. Step 6: Final answer
    x = 354,637.37

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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.