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Finding the Fourth Proportional to 393,355.21, 542,307.54 and 257,154.98

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Solution

The fourth proportional to 393,355.21, 542,307.54 and 257,154.98 is: 354,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,355.21 : 542,307.54 = 257,154.98 : x
  2. Step 2: Convert to fraction form
    393,355.21/542,307.54 = 257,154.98/x
  3. Step 3: Cross multiply
    393,355.21x = 542,307.54 × 257,154.98
  4. Step 4: Simplify right side
    393,355.21x = 139,457,084,602.55
  5. Step 5: Solve for x
    x = 139,457,084,602.55/393,355.21
  6. Step 6: Final answer
    x = 354,532.19

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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.