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Finding the Fourth Proportional to 292,420.80, 437,756.40 and 257,428.80

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Solution

The fourth proportional to 292,420.80, 437,756.40 and 257,428.80 is: 385,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,420.80 : 437,756.40 = 257,428.80 : x
  2. Step 2: Convert to fraction form
    292,420.80/437,756.40 = 257,428.80/x
  3. Step 3: Cross multiply
    292,420.80x = 437,756.40 × 257,428.80
  4. Step 4: Simplify right side
    292,420.80x = 112,691,104,744.32
  5. Step 5: Solve for x
    x = 112,691,104,744.32/292,420.80
  6. Step 6: Final answer
    x = 385,373.08

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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.