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Finding the Fourth Proportional to 292,208.40, 438,312.60 and 166,237.20

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Solution

The fourth proportional to 292,208.40, 438,312.60 and 166,237.20 is: 249,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,208.40 : 438,312.60 = 166,237.20 : x
  2. Step 2: Convert to fraction form
    292,208.40/438,312.60 = 166,237.20/x
  3. Step 3: Cross multiply
    292,208.40x = 438,312.60 × 166,237.20
  4. Step 4: Simplify right side
    292,208.40x = 72,863,859,348.72
  5. Step 5: Solve for x
    x = 72,863,859,348.72/292,208.40
  6. Step 6: Final answer
    x = 249,355.80

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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.