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Finding the Fourth Proportional to 631,471.80, 946,862.10 and 257,071.80

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Solution

The fourth proportional to 631,471.80, 946,862.10 and 257,071.80 is: 385,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,471.80 : 946,862.10 = 257,071.80 : x
  2. Step 2: Convert to fraction form
    631,471.80/946,862.10 = 257,071.80/x
  3. Step 3: Cross multiply
    631,471.80x = 946,862.10 × 257,071.80
  4. Step 4: Simplify right side
    631,471.80x = 243,411,544,398.78
  5. Step 5: Solve for x
    x = 243,411,544,398.78/631,471.80
  6. Step 6: Final answer
    x = 385,467.01

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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.